100959 has 8 divisors (see below), whose sum is σ = 136752. Its totient is φ = 66240.

The previous prime is 100957. The next prime is 100981. The reversal of 100959 is 959001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100959 - 2¹ = 100957 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100959.

It is not an unprimeable number, because it can be changed into a prime (100957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (17094).

2¹⁰⁰⁹⁵⁹ is an apocalyptic number.

100959 is a deficient number, since it is larger than the sum of its proper divisors (35793).

100959 is an equidigital number, since it uses as much as digits as its factorization.

100959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537.

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 100959 is about 317.7404601243. The cubic root of 100959 is about 46.5637926611.

The spelling of 100959 in words is "one hundred thousand, nine hundred fifty-nine".