103664

103,664 is an even composite number composed of four prime numbers multiplied together.

What does the number 103664 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

103664 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 103664:

2⁴ × 11 × 19 × 31

(2 × 2 × 2 × 2 × 11 × 19 × 31)

See below for interesting mathematical facts about the number 103664 from the Numbermatics database.

Names of 103664

Cardinal: 103664 can be written as One hundred three thousand, six hundred sixty-four.

Scientific notation

Scientific notation: 1.03664 × 10⁵

Factors of 103664

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 63

Divisors of 103664

Number of divisors d(n): 40
Complete list of divisors:
1 2 4 8 11 16 19 22 31 38 44 62 76 88 124 152 176 209 248 304 341 418 496 589 682 836 1178 1364 1672 2356 2728 3344 4712 5456 6479 9424 12958 25916 51832 103664
Sum of all divisors σ(n): 238080
Sum of proper divisors (its aliquot sum) s(n): 134416
103664 is an abundant number, because the sum of its proper divisors (134416) is greater than itself. Its abundance is 30752

Bases of 103664

Binary: 11001010011110000₂
Hexadecimal: 0x194F0
Base-36: 27ZK

Squares and roots of 103664

103664 squared (103664²) is 10746224896
103664 cubed (103664³) is 1113996657618944
The square root of 103664 is 321.9689426017
The cube root of 103664 is 46.9759949847

Scales and comparisons

How big is 103664?

103,664 seconds is equal to 1 day, 4 hours, 47 minutes, 44 seconds.
To count from 1 to 103,664 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 103664 cubic inches would be around 3.9 feet tall.

Recreational maths with 103664

103664 backwards is 466301
The number of decimal digits it has is: 6
The sum of 103664's digits is 20
More coming soon!

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The information we have on file for 103664 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!

Keywords: Divisors of 103664, math, Factors of 103664, curriculum, school, college, exams, university, Prime factorization of 103664, STEM, science, technology, engineering, physics, economics, calculator, one hundred three thousand, six hundred sixty-four.