105664

105,664 is an even composite number composed of three prime numbers multiplied together.

What does the number 105664 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

105664 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

Prime factorization of 105664:

2⁶ × 13 × 127

(2 × 2 × 2 × 2 × 2 × 2 × 13 × 127)

See below for interesting mathematical facts about the number 105664 from the Numbermatics database.

Names of 105664

Cardinal: 105664 can be written as One hundred five thousand, six hundred sixty-four.

Scientific notation

Scientific notation: 1.05664 × 10⁵

Factors of 105664

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 142

Divisors of 105664

Number of divisors d(n): 28
Complete list of divisors:
1 2 4 8 13 16 26 32 52 64 104 127 208 254 416 508 832 1016 1651 2032 3302 4064 6604 8128 13208 26416 52832 105664
Sum of all divisors σ(n): 227584
Sum of proper divisors (its aliquot sum) s(n): 121920
105664 is an abundant number, because the sum of its proper divisors (121920) is greater than itself. Its abundance is 16256

Bases of 105664

Binary: 11001110011000000₂
Hexadecimal: 0x19CC0
Base-36: 29J4

Squares and roots of 105664

105664 squared (105664²) is 11164880896
105664 cubed (105664³) is 1179725974994944
The square root of 105664 is 325.0599944625
The cube root of 105664 is 47.2761769045

Scales and comparisons

How big is 105664?

105,664 seconds is equal to 1 day, 5 hours, 21 minutes, 4 seconds.
To count from 1 to 105,664 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 105664 cubic inches would be around 3.9 feet tall.

Recreational maths with 105664

105664 backwards is 466501
The number of decimal digits it has is: 6
The sum of 105664's digits is 22
More coming soon!

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The information we have on file for 105664 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 105664, math, Factors of 105664, curriculum, school, college, exams, university, Prime factorization of 105664, STEM, science, technology, engineering, physics, economics, calculator, one hundred five thousand, six hundred sixty-four.