100608

100,608 is an even composite number composed of three prime numbers multiplied together.

What does the number 100608 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

100608 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 100608:

2⁸ × 3 × 131

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 131)

See below for interesting mathematical facts about the number 100608 from the Numbermatics database.

Names of 100608

Cardinal: 100608 can be written as One hundred thousand, six hundred eight.

Scientific notation

Scientific notation: 1.00608 × 10⁵

Factors of 100608

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 136

Divisors of 100608

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 524 768 786 1048 1572 2096 3144 4192 6288 8384 12576 16768 25152 33536 50304 100608
Sum of all divisors σ(n): 269808
Sum of proper divisors (its aliquot sum) s(n): 169200
100608 is an abundant number, because the sum of its proper divisors (169200) is greater than itself. Its abundance is 68592

Bases of 100608

Binary: 11000100100000000₂
Hexadecimal: 0x18900
Base-36: 25MO

Squares and roots of 100608

100608 squared (100608²) is 10121969664
100608 cubed (100608³) is 1018351123955712
The square root of 100608 is 317.1876416255
The cube root of 100608 is 46.5097678637

Scales and comparisons

How big is 100608?

100,608 seconds is equal to 1 day, 3 hours, 56 minutes, 48 seconds.
To count from 1 to 100,608 would take you about three 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 100608 cubic inches would be around 3.9 feet tall.

Recreational maths with 100608

100608 backwards is 806001
The number of decimal digits it has is: 6
The sum of 100608's digits is 15
More coming soon!

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The information we have on file for 100608 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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