105264

105,264 is an even composite number composed of four prime numbers multiplied together.

What does the number 105264 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 60 divisors.

105264 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.

Prime factorization of 105264:

2⁴ × 3² × 17 × 43

(2 × 2 × 2 × 2 × 3 × 3 × 17 × 43)

See below for interesting mathematical facts about the number 105264 from the Numbermatics database.

Names of 105264

Cardinal: 105264 can be written as One hundred five thousand, two hundred sixty-four.

Scientific notation

Scientific notation: 1.05264 × 10⁵

Factors of 105264

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 65

Divisors of 105264

Number of divisors d(n): 60
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 34 36 43 48 51 68 72 86 102 129 136 144 153 172 204 258 272 306 344 387 408 516 612 688 731 774 816 1032 1224 1462 1548 2064 2193 2448 2924 3096 4386 5848 6192 6579 8772 11696 13158 17544 26316 35088 52632 105264
Sum of all divisors σ(n): 319176
Sum of proper divisors (its aliquot sum) s(n): 213912
105264 is an abundant number, because the sum of its proper divisors (213912) is greater than itself. Its abundance is 108648

Bases of 105264

Binary: 11001101100110000₂
Hexadecimal: 0x19B30
Base-36: 2980

Squares and roots of 105264

105264 squared (105264²) is 11080509696
105264 cubed (105264³) is 1166378772639744
The square root of 105264 is 324.4441400303
The cube root of 105264 is 47.2164454807

Scales and comparisons

How big is 105264?

105,264 seconds is equal to 1 day, 5 hours, 14 minutes, 24 seconds.
To count from 1 to 105,264 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 105264 cubic inches would be around 3.9 feet tall.

Recreational maths with 105264

105264 backwards is 462501
105264 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 105264's digits is 18
More coming soon!

Copy this link to share with anyone:

Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

<a href="https://numbermatics.com/n/105264/?utm_source=shared">Number 105264 - Facts about the integer</a>

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

[url=https://numbermatics.com/n/105264/?utm_source=shared]Number 105264 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 105264 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.

APA style:
Numbermatics. (2024). Number 105264 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/105264/

Chicago style:
Numbermatics. 2024. "Number 105264 - Facts about the integer". https://numbermatics.com/n/105264/

The information we have on file for 105264 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!

Keywords: Divisors of 105264, math, Factors of 105264, curriculum, school, college, exams, university, Prime factorization of 105264, STEM, science, technology, engineering, physics, economics, calculator, one hundred five thousand, two hundred sixty-four.