100672824006 has 24 divisors (see below), whose sum is σ = 218132417880. Its totient is φ = 33556382496.

The previous prime is 100672823987. The next prime is 100672824017. The reversal of 100672824006 is 600428276001.

100672824006 is a `hidden beast` number, since 100 + 6 + 72 + 82 + 400 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 500586 + ... + 672258.

It is an arithmetic number, because the mean of its divisors is an integer number (9088850745).

Almost surely, 2^100672824006 is an apocalyptic number.

100672824006 is an abundant number, since it is smaller than the sum of its proper divisors (117459593874).

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

100672824006 is a wasteful number, since it uses less digits than its factorization.

100672824006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204260 (or 204257 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 100672824006 in words is "one hundred billion, six hundred seventy-two million, eight hundred twenty-four thousand, six".