105055104
105,055,104 is an even composite number composed of six prime numbers multiplied together.
105055104 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 105055104:
27 × 3 × 7 × 112 × 17 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 17 × 19)See below for interesting mathematical facts about the number 105055104 from the Numbermatics database.
Names of 105055104
- Cardinal: 105055104 can be written as One hundred five million, fifty-five thousand, one hundred four.
Scientific notation
- Scientific notation: 1.05055104 × 108
Factors of 105055104
Divisors of 105055104
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 17 19 21 22 24 28 32 33 34 38 42 44 48 51 56 57 64 66 68 76 77 84 88 96 102 112 114 119 121 128 132 133 136 152 154 168 176 187 192 204 209 224 228 231 238 242 264 266 272 304 308 323 336 352 357 363 374 384 399 408 418 448 456 462 476 484 528 532 544 561 608 616 627 646 672 704 714 726 748 798 816 836 847 896 912 924 952 968 969 1056 1064 1088 1122 1216 1232 1254 1292 1309 1344 1408 1428 1452 1463 1496 1596 1632 1672 1694 1824 1848 1904 1936 1938 2057 2112 2128 2176 2244 2261 2299 2432 2464 2508 2541 2584 2618 2688 2856 2904 2926 2992 3192 3264 3344 3388 3553 3648 3696 3808 3872 3876 3927 4114 4224 4256 4389 4488 4522 4598 4928 5016 5082 5168 5236 5712 5808 5852 5984 6171 6384 6528 6688 6776 6783 6897 7106 7296 7392 7616 7744 7752 7854 8228 8512 8778 8976 9044 9196 9856 10032 10164 10336 10472 10659 11424 11616 11704 11968 12342 12768 13376 13552 13566 13794 14212 14399 14784 15232 15488 15504 15708 16093 16456 17024 17556 17952 18088 18392 20064 20328 20672 20944 21318 22848 23232 23408 23936 24684 24871 25536 26752 27104 27132 27588 28424 28798 29568 31008 31416 32186 32912 35112 35904 36176 36784 39083 40128 40656 41344 41888 42636 43197 45696 46464 46816 48279 49368 49742 51072 54208 54264 55176 56848 57596 62016 62832 64372 65824 70224 71808 72352 73568 74613 78166 80256 81312 83776 85272 86394 93632 96558 98736 99484 108416 108528 110352 113696 115192 117249 124032 125664 128744 131648 140448 144704 147136 149226 156332 162624 167552 170544 172788 187264 193116 197472 198968 217056 220704 227392 230384 234498 251328 257488 263296 273581 280896 289408 294272 298452 312664 325248 341088 345576 386232 394944 397936 434112 441408 454784 460768 468996 502656 514976 547162 561792 596904 625328 682176 691152 772464 789888 795872 820743 868224 882816 921536 937992 1029952 1094324 1193808 1250656 1364352 1382304 1544928 1591744 1641486 1843072 1875984 2059904 2188648 2387616 2501312 2764608 3089856 3183488 3282972 3751968 4377296 4775232 5002624 5529216 6179712 6565944 7503936 8754592 9550464 13131888 15007872 17509184 26263776 35018368 52527552 105055104
- Sum of all divisors σ(n): 390700800
- Sum of proper divisors (its aliquot sum) s(n): 285645696
- 105055104 is an abundant number, because the sum of its proper divisors (285645696) is greater than itself. Its abundance is 180590592
Bases of 105055104
- Binary: 1100100001100000011100000002
- Hexadecimal: 0x6430380
- Base-36: 1QJP1C
Squares and roots of 105055104
- 105055104 squared (1050551042) is 11036574876450816
- 105055104 cubed (1050551043) is 1159448521449327625764864
-
The
square root of 105055104 is 10249.6392131625 -
The
cube root of 105055104 is 471.8519117923
Scales and comparisons
How big is 105055104?- 105,055,104 seconds is equal to 3 years, 17 weeks, 4 days, 21 hours, 58 minutes, 24 seconds.
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To count from 1 to 105,055,104 would take you about five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 105055104 cubic inches would be around 39.3 feet tall.
Recreational maths with 105055104
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