# 101088

## 101,088 is an even composite number composed of three prime numbers multiplied together.

What does the number 101088 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 72 divisors.

101088 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 101088:

### 25 × 35 × 13

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13)

See below for interesting mathematical facts about the number 101088 from the Numbermatics database.

### Names of 101088

• Cardinal: 101088 can be written as One hundred one thousand and eighty-eight.

### Scientific notation

• Scientific notation: 1.01088 × 105

### Factors of 101088

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 18

### Divisors of 101088

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 321048
• Sum of proper divisors (its aliquot sum) s(n): 219960
• 101088 is an abundant number, because the sum of its proper divisors (219960) is greater than itself. Its abundance is 118872

### Bases of 101088

• Binary: 110001010111000002
• Base-36: 2600

### Squares and roots of 101088

• 101088 squared (1010882) is 10218783744
• 101088 cubed (1010883) is 1032996411113472
• The square root of 101088 is 317.9433911879
• The cube root of 101088 is 46.5836164599

### Scales and comparisons

How big is 101088?
• 101,088 seconds is equal to 1 day, 4 hours, 4 minutes, 48 seconds.
• To count from 1 to 101,088 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 101088 cubic inches would be around 3.9 feet tall.

### Recreational maths with 101088

• 101088 backwards is 880101
• 101088 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 101088's digits is 18
• More coming soon!