# 103680

## 103,680 is an even composite number composed of three prime numbers multiplied together.

What does the number 103680 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 90 divisors.

103680 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of ninety divisors.

## Prime factorization of 103680:

### 28 × 34 × 5

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

See below for interesting mathematical facts about the number 103680 from the Numbermatics database.

### Names of 103680

• Cardinal: 103680 can be written as One hundred three thousand, six hundred eighty.

### Scientific notation

• Scientific notation: 1.0368 × 105

### Factors of 103680

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 10

### Divisors of 103680

• Number of divisors d(n): 90
• Complete list of divisors:
• Sum of all divisors σ(n): 370986
• Sum of proper divisors (its aliquot sum) s(n): 267306
• 103680 is an abundant number, because the sum of its proper divisors (267306) is greater than itself. Its abundance is 163626

### Bases of 103680

• Binary: 110010101000000002
• Base-36: 2800

### Squares and roots of 103680

• 103680 squared (1036802) is 10749542400
• 103680 cubed (1036803) is 1114512556032000
• The square root of 103680 is 321.9937887599
• The cube root of 103680 is 46.9784116941

### Scales and comparisons

How big is 103680?
• 103,680 seconds is equal to 1 day, 4 hours, 48 minutes.
• To count from 1 to 103,680 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 103680 cubic inches would be around 3.9 feet tall.

### Recreational maths with 103680

• 103680 backwards is 086301
• 103680 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 103680's digits is 18
• More coming soon!