103125

103,125 is an odd composite number composed of three prime numbers multiplied together.

What does the number 103125 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

103125 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 103125:

3 × 5⁵ × 11

(3 × 5 × 5 × 5 × 5 × 5 × 11)

See below for interesting mathematical facts about the number 103125 from the Numbermatics database.

Names of 103125

Cardinal: 103125 can be written as One hundred three thousand, one hundred twenty-five.

Scientific notation

Scientific notation: 1.03125 × 10⁵

Factors of 103125

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 19

Divisors of 103125

Number of divisors d(n): 24
Complete list of divisors:
1 3 5 11 15 25 33 55 75 125 165 275 375 625 825 1375 1875 3125 4125 6875 9375 20625 34375 103125
Sum of all divisors σ(n): 187488
Sum of proper divisors (its aliquot sum) s(n): 84363
103125 is a deficient number, because the sum of its proper divisors (84363) is less than itself. Its deficiency is 18762

Bases of 103125

Binary: 11001001011010101₂
Hexadecimal: 0x192D5
Base-36: 27KL

Squares and roots of 103125

103125 squared (103125²) is 10634765625
103125 cubed (103125³) is 1096710205078125
The square root of 103125 is 321.1308144665
The cube root of 103125 is 46.8944363841

Scales and comparisons

How big is 103125?

103,125 seconds is equal to 1 day, 4 hours, 38 minutes, 45 seconds.
To count from 1 to 103,125 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 103125 cubic inches would be around 3.9 feet tall.

Recreational maths with 103125

103125 backwards is 521301
The number of decimal digits it has is: 6
The sum of 103125's digits is 12
More coming soon!

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The information we have on file for 103125 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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