# 105984

## 105,984 is an even composite number composed of three prime numbers multiplied together.

What does the number 105984 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

105984 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 105984:

### 29 × 32 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 23)

See below for interesting mathematical facts about the number 105984 from the Numbermatics database.

### Names of 105984

• Cardinal: 105984 can be written as One hundred five thousand, nine hundred eighty-four.

### Scientific notation

• Scientific notation: 1.05984 × 105

### Factors of 105984

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 28

### Divisors of 105984

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 319176
• Sum of proper divisors (its aliquot sum) s(n): 213192
• 105984 is an abundant number, because the sum of its proper divisors (213192) is greater than itself. Its abundance is 107208

### Bases of 105984

• Binary: 110011110000000002
• Base-36: 29S0

### Squares and roots of 105984

• 105984 squared (1059842) is 11232608256
• 105984 cubed (1059843) is 1190476753403904
• The square root of 105984 is 325.5518391901
• The cube root of 105984 is 47.3238535977

### Scales and comparisons

How big is 105984?
• 105,984 seconds is equal to 1 day, 5 hours, 26 minutes, 24 seconds.
• To count from 1 to 105,984 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 105984 cubic inches would be around 3.9 feet tall.

### Recreational maths with 105984

• 105984 backwards is 489501
• The number of decimal digits it has is: 6
• The sum of 105984's digits is 27
• More coming soon!