105138

105,138 is an even composite number composed of four prime numbers multiplied together.

What does the number 105138 look like?

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

105138 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 105138:

2 × 3⁴ × 11 × 59

(2 × 3 × 3 × 3 × 3 × 11 × 59)

See below for interesting mathematical facts about the number 105138 from the Numbermatics database.

Names of 105138

Cardinal: 105138 can be written as One hundred five thousand, one hundred thirty-eight.

Scientific notation

Scientific notation: 1.05138 × 10⁵

Factors of 105138

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 75

Divisors of 105138

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 6 9 11 18 22 27 33 54 59 66 81 99 118 162 177 198 297 354 531 594 649 891 1062 1298 1593 1782 1947 3186 3894 4779 5841 9558 11682 17523 35046 52569 105138
Sum of all divisors σ(n): 261360
Sum of proper divisors (its aliquot sum) s(n): 156222
105138 is an abundant number, because the sum of its proper divisors (156222) is greater than itself. Its abundance is 51084

Bases of 105138

Binary: 11001101010110010₂
Hexadecimal: 0x19AB2
Base-36: 294I

Squares and roots of 105138

105138 squared (105138²) is 11053999044
105138 cubed (105138³) is 1162195351488072
The square root of 105138 is 324.2499036237
The cube root of 105138 is 47.1975987481

Scales and comparisons

How big is 105138?

105,138 seconds is equal to 1 day, 5 hours, 12 minutes, 18 seconds.
To count from 1 to 105,138 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 105138 cubic inches would be around 3.9 feet tall.

Recreational maths with 105138

105138 backwards is 831501
105138 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 105138's digits is 18
More coming soon!

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The information we have on file for 105138 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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