# 107

## 107 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 107 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

107 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 107:

### 107

See below for interesting mathematical facts about the number 107 from the Numbermatics database.

### Names of 107

• Cardinal: 107 can be written as One hundred seven.

### Scientific notation

• Scientific notation: 1.07 × 102

### Factors of 107

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 107

### Divisors of 107

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 108
• Sum of proper divisors (its aliquot sum) s(n): 1
• 107 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 106

### Bases of 107

• Binary: 11010112
• Base-36: 2Z

### Squares and roots of 107

• 107 squared (1072) is 11449
• 107 cubed (1073) is 1225043
• The square root of 107 is 10.3440804327
• The cube root of 107 is 4.7474593987

### Scales and comparisons

How big is 107?
• 107 seconds is equal to 1 minute, 47 seconds.
• To count from 1 to 107 would take you about fifty-three seconds.

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 107 cubic inches would be around 0.4 feet tall.

### Recreational maths with 107

• 107 backwards is 701
• 107 is a twin prime! Its twin is 109
• The number of decimal digits it has is: 3
• The sum of 107's digits is 8
• More coming soon!