105972

105,972 is an even composite number composed of three prime numbers multiplied together.

What does the number 105972 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

105972 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 105972:

2² × 3 × 8831

(2 × 2 × 3 × 8831)

See below for interesting mathematical facts about the number 105972 from the Numbermatics database.

Names of 105972

Cardinal: 105972 can be written as One hundred five thousand, nine hundred seventy-two.

Scientific notation

Scientific notation: 1.05972 × 10⁵

Factors of 105972

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 4
Sum of prime factors: 8836

Divisors of 105972

Number of divisors d(n): 12
Complete list of divisors:
1 2 3 4 6 12 8831 17662 26493 35324 52986 105972
Sum of all divisors σ(n): 247296
Sum of proper divisors (its aliquot sum) s(n): 141324
105972 is an abundant number, because the sum of its proper divisors (141324) is greater than itself. Its abundance is 35352

Bases of 105972

Binary: 11001110111110100₂
Hexadecimal: 0x19DF4
Base-36: 29RO

Squares and roots of 105972

105972 squared (105972²) is 11230064784
105972 cubed (105972³) is 1190072425290048
The square root of 105972 is 325.5334084239
The cube root of 105972 is 47.3220674549

Scales and comparisons

How big is 105972?

105,972 seconds is equal to 1 day, 5 hours, 26 minutes, 12 seconds.
To count from 1 to 105,972 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 105972 cubic inches would be around 3.9 feet tall.

Recreational maths with 105972

105972 backwards is 279501
The number of decimal digits it has is: 6
The sum of 105972's digits is 24
More coming soon!

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The information we have on file for 105972 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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