100172334000 has 80 divisors (see below), whose sum is σ = 322955624160. Its totient is φ = 26712620800.

The previous prime is 100172333999. The next prime is 100172334011. The reversal of 100172334000 is 433271001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8341695 + ... + 8353694.

It is an arithmetic number, because the mean of its divisors is an integer number (4036945302).

Almost surely, 2^100172334000 is an apocalyptic number.

100172334000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100172334000 is an abundant number, since it is smaller than the sum of its proper divisors (222783290160).

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

100172334000 is a wasteful number, since it uses less digits than its factorization.

100172334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16695415 (or 16695399 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The spelling of 100172334000 in words is "one hundred billion, one hundred seventy-two million, three hundred thirty-four thousand".