# 107136

## 107,136 is an even composite number composed of three prime numbers multiplied together.

What does the number 107136 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 64 divisors.

107136 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-four divisors.

## Prime factorization of 107136:

### 27 × 33 × 31

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 31)

See below for interesting mathematical facts about the number 107136 from the Numbermatics database.

### Names of 107136

• Cardinal: 107136 can be written as One hundred seven thousand, one hundred thirty-six.

### Scientific notation

• Scientific notation: 1.07136 × 105

### Factors of 107136

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 36

### Divisors of 107136

• Number of divisors d(n): 64
• Complete list of divisors:
• Sum of all divisors σ(n): 326400
• Sum of proper divisors (its aliquot sum) s(n): 219264
• 107136 is an abundant number, because the sum of its proper divisors (219264) is greater than itself. Its abundance is 112128

### Bases of 107136

• Binary: 110100010100000002
• Base-36: 2AO0

### Squares and roots of 107136

• 107136 squared (1071362) is 11478122496
• 107136 cubed (1071363) is 1229720131731456
• The square root of 107136 is 327.3163607277
• The cube root of 107136 is 47.4946993161

### Scales and comparisons

How big is 107136?
• 107,136 seconds is equal to 1 day, 5 hours, 45 minutes, 36 seconds.
• To count from 1 to 107,136 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 107136 cubic inches would be around 4 feet tall.

### Recreational maths with 107136

• 107136 backwards is 631701
• 107136 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 107136's digits is 18
• More coming soon!