100384791672 has 64 divisors (see below), whose sum is σ = 288186019200. Its totient is φ = 28818599040.

The previous prime is 100384791671. The next prime is 100384791701. The reversal of 100384791672 is 276197483001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100384791671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10001443 + ... + 10011474.

It is an arithmetic number, because the mean of its divisors is an integer number (4502906550).

Almost surely, 2^100384791672 is an apocalyptic number.

100384791672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100384791672 is an abundant number, since it is smaller than the sum of its proper divisors (187801227528).

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

100384791672 is a wasteful number, since it uses less digits than its factorization.

100384791672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20012956 (or 20012952 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 100384791672 in words is "one hundred billion, three hundred eighty-four million, seven hundred ninety-one thousand, six hundred seventy-two".