# 108864

## 108,864 is an even composite number composed of three prime numbers multiplied together.

What does the number 108864 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 84 divisors.

108864 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighty-four divisors.

## Prime factorization of 108864:

### 26 × 35 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 108864 from the Numbermatics database.

### Names of 108864

• Cardinal: 108864 can be written as One hundred eight thousand, eight hundred sixty-four.

### Scientific notation

• Scientific notation: 1.08864 × 105

### Factors of 108864

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 12

### Divisors of 108864

• Number of divisors d(n): 84
• Complete list of divisors:
• Sum of all divisors σ(n): 369824
• Sum of proper divisors (its aliquot sum) s(n): 260960
• 108864 is an abundant number, because the sum of its proper divisors (260960) is greater than itself. Its abundance is 152096

### Bases of 108864

• Binary: 110101001010000002
• Base-36: 2C00

### Squares and roots of 108864

• 108864 squared (1088642) is 11851370496
• 108864 cubed (1088643) is 1290187597676544
• The square root of 108864 is 329.9454500369
• The cube root of 108864 is 47.7486864947

### Scales and comparisons

How big is 108864?
• 108,864 seconds is equal to 1 day, 6 hours, 14 minutes, 24 seconds.
• To count from 1 to 108,864 would take you about six 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 108864 cubic inches would be around 4 feet tall.

### Recreational maths with 108864

• 108864 backwards is 468801
• 108864 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 108864's digits is 27
• More coming soon!