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108120

Number 108120: Properties, Factors, and Mathematical Facts

Short answer

The number 108120 is an even composite number with 64 positive divisors. Its prime factorization is 2³ × 3 × 5 × 17 × 53. It is also an abundant number, which gives it several notable mathematical relationships.

Is 108120 prime?

ClassificationCompositeParityEvenDivisor count64AbundanceAbundant

What is the prime factorization of 108120?

Prime factorization

108120 =
2 cubed times 3 times 5 times 17 times 53
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What are the divisors of 108120?

Divisor count

64

Divisor sum

349,920

Proper divisor sum

241,800
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 8
  • 10
  • 12
  • 15
  • 17
  • 20
  • 24
  • 30
  • 34
  • 40
  • 51
  • 53
  • 60
  • 68
  • 85
  • 102
  • 106
  • 120

How is 108120 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 108120 represented in other numeral systems?

Decimal

108120

Binary

11010011001011000
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Octal

323130

Hexadecimal

1A658
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Roman

No conventional Roman numeral

In words

one hundred eight thousand one hundred twenty

Roots and powers

Square root

328.816058 Approximate

Cube root

47.639663 Approximate

Nearest lower square

107584

Nearest higher square

108241

Nearest lower cube

103823

Nearest higher cube

110592

What are the digit properties of 108120?

Digit count

6

Digit sum

Digit product

0

Digital root

3

Reversed number

21801

Why these results are true

  • 108120 is composite because it has positive divisors other than 1 and itself.
  • 108120 is abundant because the sum of its proper divisors (241800) is greater than 108120.

Compare this number

FAQ for 108120

Is 108120 prime?
No
What is the prime factorization of 108120?
2³ × 3 × 5 × 17 × 53
Is 108120 a perfect square?
No
What is 108120 in binary?
11010011001011000

Read calculation methodology