100597504465920 has 1408 divisors, whose sum is σ = 410209901936640. Its totient is φ = 20436446085120.

The previous prime is 100597504465907. The next prime is 100597504465943. The reversal of 100597504465920 is 29564405795001.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9623787414 + ... + 9623797866.

Almost surely, 2^{100597504465920} is an apocalyptic number.

100597504465920 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 100597504465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205104950968320).

100597504465920 is an abundant number, since it is smaller than the sum of its proper divisors (309612397470720).

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

100597504465920 is a wasteful number, since it uses less digits than its factorization.

100597504465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10681 (or 10663 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 100597504465920 in words is "one hundred trillion, five hundred ninety-seven billion, five hundred four million, four hundred sixty-five thousand, nine hundred twenty".