105007104
105,007,104 is an even composite number composed of three prime numbers multiplied together.
105007104 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 105007104:
211 × 35 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 211)See below for interesting mathematical facts about the number 105007104 from the Numbermatics database.
Names of 105007104
- Cardinal: 105007104 can be written as One hundred five million, seven thousand, one hundred four.
Scientific notation
- Scientific notation: 1.05007104 × 108
Factors of 105007104
Divisors of 105007104
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 211 216 243 256 288 324 384 422 432 486 512 576 633 648 768 844 864 972 1024 1152 1266 1296 1536 1688 1728 1899 1944 2048 2304 2532 2592 3072 3376 3456 3798 3888 4608 5064 5184 5697 6144 6752 6912 7596 7776 9216 10128 10368 11394 13504 13824 15192 15552 17091 18432 20256 20736 22788 27008 27648 30384 31104 34182 40512 41472 45576 51273 54016 55296 60768 62208 68364 81024 82944 91152 102546 108032 121536 124416 136728 162048 165888 182304 205092 216064 243072 248832 273456 324096 364608 410184 432128 486144 497664 546912 648192 729216 820368 972288 1093824 1296384 1458432 1640736 1944576 2187648 2916864 3281472 3889152 4375296 5833728 6562944 8750592 11667456 13125888 17501184 26251776 35002368 52503552 105007104
- Sum of all divisors σ(n): 316002960
- Sum of proper divisors (its aliquot sum) s(n): 210995856
- 105007104 is an abundant number, because the sum of its proper divisors (210995856) is greater than itself. Its abundance is 105988752
Bases of 105007104
- Binary: 1100100001001001000000000002
- Hexadecimal: 0x6424800
- Base-36: 1QIO00
Squares and roots of 105007104
- 105007104 squared (1050071042) is 11026491890466816
- 105007104 cubed (1050071043) is 1157859980697405556260864
-
The
square root of 105007104 is 10247.2973998025 -
The
cube root of 105007104 is 471.7800373149
Scales and comparisons
How big is 105007104?- 105,007,104 seconds is equal to 3 years, 17 weeks, 4 days, 8 hours, 38 minutes, 24 seconds.
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To count from 1 to 105,007,104 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 105007104 cubic inches would be around 39.3 feet tall.
Recreational maths with 105007104
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