108 (number)

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108 is the natural number following 107 and preceding 109.


Cardinal one hundred [and]
eight
Ordinal 108th
Factorization 2^2 \cdot 3^3
Divisors 2, 3, 4, 6, 9, 12,
18, 27, 36, 54
Roman numeral CVIII
Binary 1101100
Hexadecimal 6C

[edit] In mathematics

One hundred [and] eight is an abundant number and a semiperfect number. It is a tetranacci number.

It is the hyperfactorial of 3 since it is of the form 1^1 \cdot 2^2 \cdot 3^3.

108 is a number that is divisible by the value of its φ function, which is 36. 108 is also divisible by the total number of its divisors (12), hence it is a refactorable number.

In normal space, the interior angles of an equilateral pentagon measure 108 degrees each.

There are 108 free polyominoes of order 7.

In base 10, it is a Harshad number and a self number.

[edit] In other fields

One hundred [and] eight is also:

  • sacred in Hinduism, Buddhism and other religions native to India:
    • A mala (rosary) usually has beads for 108 repetitions of a mantra.
    • Hindu deities have 108 names. Recital of these names, often accompanied by counting of 108-beaded Mala, is considered sacred and often done during religious ceremonies. The recital is called namajapa.
    • It is described in the Srimad Bhagavatam that Krishna dances with 108 'Gopis' (cow-herd girls) in His Vrindavan pastimes, and later marries 16,108 wives in His city of Dwarka. Hare Krishna devotees thus hold 108 as a number of great significance.
    • Siva Nataraja dances his cosmic dance in 108 poses.
    • The number of sins in Tibetan Buddhism. In Japan, at the end of the year, a bell is chimed 108 times to finish the old year and welcome the new one. Each ring represents one of 108 earthly temptations a person must overcome to achieve nirvana.
  • 108 Stars is also the name of a group of space pirates who use Tao magic in the anime Outlaw Star.

[edit] External links