# 100800

## 100,800 is an even composite number composed of four prime numbers multiplied together.

What does the number 100800 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 126 divisors.

100800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-six divisors.

## Prime factorization of 100800:

### 26 × 32 × 52 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7)

See below for interesting mathematical facts about the number 100800 from the Numbermatics database.

### Names of 100800

• Cardinal: 100800 can be written as One hundred thousand, eight hundred.

### Scientific notation

• Scientific notation: 1.008 × 105

### Factors of 100800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 17

### Divisors of 100800

• Number of divisors d(n): 126
• Complete list of divisors:
• Sum of all divisors σ(n): 409448
• Sum of proper divisors (its aliquot sum) s(n): 308648
• 100800 is an abundant number, because the sum of its proper divisors (308648) is greater than itself. Its abundance is 207848

### Bases of 100800

• Binary: 110001001110000002
• Base-36: 25S0

### Squares and roots of 100800

• 100800 squared (1008002) is 10160640000
• 100800 cubed (1008003) is 1024192512000000
• The square root of 100800 is 317.4901573277
• The cube root of 100800 is 46.5393354291

### Scales and comparisons

How big is 100800?
• 100,800 seconds is equal to 1 day, 4 hours.
• To count from 1 to 100,800 would take you about four 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 100800 cubic inches would be around 3.9 feet tall.

### Recreational maths with 100800

• 100800 backwards is 008001
• 100800 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 100800's digits is 9
• More coming soon!