100112959 has 8 divisors (see below), whose sum is σ = 104062320. Its totient is φ = 96196800.

The previous prime is 100112953. The next prime is 100112963. The reversal of 100112959 is 959211001.

100112959 is nontrivially palindromic in base 6.

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

It is a cyclic number.

It is not a de Polignac number, because 100112959 - 2¹¹ = 100110911 is a prime.

It is a house number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2062 + ... + 14299.

It is an arithmetic number, because the mean of its divisors is an integer number (13007790).

Almost surely, 2^100112959 is an apocalyptic number.

100112959 is a deficient number, since it is larger than the sum of its proper divisors (3949361).

100112959 is a wasteful number, since it uses less digits than its factorization.

100112959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16601.

The product of its (nonzero) digits is 810, while the sum is 28.

The square root of 100112959 is about 10005.6463559332. The cubic root of 100112959 is about 464.3335873408. Note that the first 3 decimals are identical.

The spelling of 100112959 in words is "one hundred million, one hundred twelve thousand, nine hundred fifty-nine".