100232691686400 has 4224 divisors, whose sum is σ = 460463648440320. Its totient is φ = 18624896040960.

The previous prime is 100232691686383. The next prime is 100232691686509. The reversal of 100232691686400 is 4686196232001.

100232691686400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 100232691686400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 113001906757 + ... + 113001907643.

Almost surely, 2^{100232691686400} is an apocalyptic number.

100232691686400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100232691686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230231824220160).

100232691686400 is an abundant number, since it is smaller than the sum of its proper divisors (360230956753920).

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

100232691686400 is a wasteful number, since it uses less digits than its factorization.

100232691686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 100232691686400 in words is "one hundred trillion, two hundred thirty-two billion, six hundred ninety-one million, six hundred eighty-six thousand, four hundred".