103168

103,168 is an even composite number composed of three prime numbers multiplied together.

What does the number 103168 look like?

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

103168 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 103168:

2⁸ × 13 × 31

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 31)

See below for interesting mathematical facts about the number 103168 from the Numbermatics database.

Names of 103168

Cardinal: 103168 can be written as One hundred three thousand, one hundred sixty-eight.

Scientific notation

Scientific notation: 1.03168 × 10⁵

Factors of 103168

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 46

Divisors of 103168

Number of divisors d(n): 36
Complete list of divisors:
1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 806 832 992 1612 1664 1984 3224 3328 3968 6448 7936 12896 25792 51584 103168
Sum of all divisors σ(n): 228928
Sum of proper divisors (its aliquot sum) s(n): 125760
103168 is an abundant number, because the sum of its proper divisors (125760) is greater than itself. Its abundance is 22592

Bases of 103168

Binary: 11001001100000000₂
Hexadecimal: 0x19300
Base-36: 27LS

Squares and roots of 103168

103168 squared (103168²) is 10643636224
103168 cubed (103168³) is 1098082661957632
The square root of 103168 is 321.1977583981
The cube root of 103168 is 46.9009533315

Scales and comparisons

How big is 103168?

103,168 seconds is equal to 1 day, 4 hours, 39 minutes, 28 seconds.
To count from 1 to 103,168 would take you about four 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 103168 cubic inches would be around 3.9 feet tall.

Recreational maths with 103168

103168 backwards is 861301
The number of decimal digits it has is: 6
The sum of 103168's digits is 19
More coming soon!

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The information we have on file for 103168 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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