100112859 has 72 divisors (see below), whose sum is σ = 189885696. Its totient is φ = 49658400.

The previous prime is 100112819. The next prime is 100112863. The reversal of 100112859 is 958211001.

It is not a de Polignac number, because 100112859 - 2¹² = 100108763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112809) 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 71 ways as a sum of consecutive naturals, for example, 175044 + ... + 175614.

Almost surely, 2^100112859 is an apocalyptic number.

100112859 is a deficient number, since it is larger than the sum of its proper divisors (89772837).

100112859 is a wasteful number, since it uses less digits than its factorization.

100112859 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 100112859 is about 10005.6413587536. The cubic root of 100112859 is about 464.3334327376. Note that the first 3 decimals are identical.

The spelling of 100112859 in words is "one hundred million, one hundred twelve thousand, eight hundred fifty-nine".