100368032 has 24 divisors (see below), whose sum is σ = 208000800. Its totient is φ = 47542464.

The previous prime is 100368031. The next prime is 100368083. The reversal of 100368032 is 230863001.

It is a junction number, because it is equal to n+sod(n) for n = 100367989 and 100368007.

It is not an unprimeable number, because it can be changed into a prime (100368031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81932 + ... + 83147.

It is an arithmetic number, because the mean of its divisors is an integer number (8666700).

Almost surely, 2^100368032 is an apocalyptic number.

It is an amenable number.

100368032 is an abundant number, since it is smaller than the sum of its proper divisors (107632768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100368032 is a wasteful number, since it uses less digits than its factorization.

100368032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165108 (or 165100 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 100368032 is about 10018.3847001400. The cubic root of 100368032 is about 464.7276039801.

The spelling of 100368032 in words is "one hundred million, three hundred sixty-eight thousand, thirty-two".