105742

105,742 is an even composite number composed of four prime numbers multiplied together.

What does the number 105742 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

105742 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 105742:

2 × 7² × 13 × 83

(2 × 7 × 7 × 13 × 83)

See below for interesting mathematical facts about the number 105742 from the Numbermatics database.

Names of 105742

Cardinal: 105742 can be written as One hundred five thousand, seven hundred forty-two.

Scientific notation

Scientific notation: 1.05742 × 10⁵

Factors of 105742

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 5
Sum of prime factors: 105

Divisors of 105742

Number of divisors d(n): 24
Complete list of divisors:
1 2 7 13 14 26 49 83 91 98 166 182 581 637 1079 1162 1274 2158 4067 7553 8134 15106 52871 105742
Sum of all divisors σ(n): 201096
Sum of proper divisors (its aliquot sum) s(n): 95354
105742 is a deficient number, because the sum of its proper divisors (95354) is less than itself. Its deficiency is 10388

Bases of 105742

Binary: 11001110100001110₂
Hexadecimal: 0x19D0E
Base-36: 29LA

Squares and roots of 105742

105742 squared (105742²) is 11181370564
105742 cubed (105742³) is 1182340486178488
The square root of 105742 is 325.1799501815
The cube root of 105742 is 47.2878069607

Scales and comparisons

How big is 105742?

105,742 seconds is equal to 1 day, 5 hours, 22 minutes, 22 seconds.
To count from 1 to 105,742 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 105742 cubic inches would be around 3.9 feet tall.

Recreational maths with 105742

105742 backwards is 247501
The number of decimal digits it has is: 6
The sum of 105742's digits is 19
More coming soon!

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The information we have on file for 105742 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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