105105

105,105 is an odd composite number composed of five prime numbers multiplied together.

What does the number 105105 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 48 divisors.

105105 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 105105:

3 × 5 × 7² × 11 × 13

(3 × 5 × 7 × 7 × 11 × 13)

See below for interesting mathematical facts about the number 105105 from the Numbermatics database.

Names of 105105

Cardinal: 105105 can be written as One hundred five thousand, one hundred five.

Scientific notation

Scientific notation: 1.05105 × 10⁵

Factors of 105105

Number of distinct prime factors ω(n): 5
Total number of prime factors Ω(n): 6
Sum of prime factors: 39

Divisors of 105105

Number of divisors d(n): 48
Complete list of divisors:
1 3 5 7 11 13 15 21 33 35 39 49 55 65 77 91 105 143 147 165 195 231 245 273 385 429 455 539 637 715 735 1001 1155 1365 1617 1911 2145 2695 3003 3185 5005 7007 8085 9555 15015 21021 35035 105105
Sum of all divisors σ(n): 229824
Sum of proper divisors (its aliquot sum) s(n): 124719
105105 is an abundant number, because the sum of its proper divisors (124719) is greater than itself. Its abundance is 19614

Bases of 105105

Binary: 11001101010010001₂
Hexadecimal: 0x19A91
Base-36: 293L

Squares and roots of 105105

105105 squared (105105²) is 11047061025
105105 cubed (105105³) is 1161101349032625
The square root of 105105 is 324.1990129535
The cube root of 105105 is 47.1926602109

Scales and comparisons

How big is 105105?

105,105 seconds is equal to 1 day, 5 hours, 11 minutes, 45 seconds.
To count from 1 to 105,105 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 105105 cubic inches would be around 3.9 feet tall.

Recreational maths with 105105

105105 backwards is 501501
The number of decimal digits it has is: 6
The sum of 105105's digits is 12
More coming soon!

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The information we have on file for 105105 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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