100032004 has 12 divisors (see below), whose sum is σ = 175137228. Its totient is φ = 49992800.

The previous prime is 100031989. The next prime is 100032011. The reversal of 100032004 is 400230001.

It can be written as a sum of positive squares in 2 ways, for example, as 36000000 + 64032004 = 6000^2 + 8002^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7074 + ... + 15814.

It is an arithmetic number, because the mean of its divisors is an integer number (14594769).

Almost surely, 2^100032004 is an apocalyptic number.

It is an amenable number.

100032004 is a deficient number, since it is larger than the sum of its proper divisors (75105224).

100032004 is a wasteful number, since it uses less digits than its factorization.

100032004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11606 (or 11604 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 100032004 is about 10001.6000719885. The cubic root of 100032004 is about 464.2083945495.

Adding to 100032004 its reverse (400230001), we get a palindrome (500262005).

It can be divided in two parts, 1000 and 32004, that multiplied together give a triangular number (32004000 = T₈₀₀₀).

The spelling of 100032004 in words is "one hundred million, thirty-two thousand, four".