105408

105,408 is an even composite number composed of three prime numbers multiplied together.

What does the number 105408 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 56 divisors.

105408 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-six divisors.

Prime factorization of 105408:

2⁶ × 3³ × 61

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 61)

See below for interesting mathematical facts about the number 105408 from the Numbermatics database.

Names of 105408

Cardinal: 105408 can be written as One hundred five thousand, four hundred eight.

Scientific notation

Scientific notation: 1.05408 × 10⁵

Factors of 105408

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 66

Divisors of 105408

Number of divisors d(n): 56
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 144 183 192 216 244 288 366 432 488 549 576 732 864 976 1098 1464 1647 1728 1952 2196 2928 3294 3904 4392 5856 6588 8784 11712 13176 17568 26352 35136 52704 105408
Sum of all divisors σ(n): 314960
Sum of proper divisors (its aliquot sum) s(n): 209552
105408 is an abundant number, because the sum of its proper divisors (209552) is greater than itself. Its abundance is 104144

Bases of 105408

Binary: 11001101111000000₂
Hexadecimal: 0x19BC0
Base-36: 29C0

Squares and roots of 105408

105408 squared (105408²) is 11110846464
105408 cubed (105408³) is 1171172104077312
The square root of 105408 is 324.6659822031
The cube root of 105408 is 47.2379661973

Scales and comparisons

How big is 105408?

105,408 seconds is equal to 1 day, 5 hours, 16 minutes, 48 seconds.
To count from 1 to 105,408 would take you about five hours.

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 105408 cubic inches would be around 3.9 feet tall.

Recreational maths with 105408

105408 backwards is 804501
105408 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 105408's digits is 18
More coming soon!

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The information we have on file for 105408 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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