100659 has 16 divisors (see below), whose sum is σ = 151200. Its totient is φ = 59136.

The previous prime is 100649. The next prime is 100669. The reversal of 100659 is 956001.

It is an interprime number because it is at equal distance from previous prime (100649) and next prime (100669).

It is not a de Polignac number, because 100659 - 2⁸ = 100403 is a prime.

100659 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100659.

It is not an unprimeable number, because it can be changed into a prime (100609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹⁰⁰⁶⁵⁹ is an apocalyptic number.

100659 is a deficient number, since it is larger than the sum of its proper divisors (50541).

100659 is a wasteful number, since it uses less digits than its factorization.

100659 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 100659 is about 317.2680254926. The cubic root of 100659 is about 46.5176254146.

The spelling of 100659 in words is "one hundred thousand, six hundred fifty-nine".