104597516160 has 640 divisors, whose sum is σ = 382685925600. Its totient is φ = 27220230144.

The previous prime is 104597516143. The next prime is 104597516167. The reversal of 104597516160 is 61615795401.

104597516160 is a `hidden beast` number, since 1 + 0 + 4 + 597 + 51 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×104597516160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104597516167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 604609834 + ... + 604610006.

Almost surely, 2^104597516160 is an apocalyptic number.

104597516160 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 104597516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191342962800).

104597516160 is an abundant number, since it is smaller than the sum of its proper divisors (278088409440).

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

104597516160 is a wasteful number, since it uses less digits than its factorization.

104597516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 104597516160 in words is "one hundred four billion, five hundred ninety-seven million, five hundred sixteen thousand, one hundred sixty".