104964856320 has 160 divisors (see below), whose sum is σ = 335848379328. Its totient is φ = 27966537728.

The previous prime is 104964856319. The next prime is 104964856357. The reversal of 104964856320 is 23658469401.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×104964856320² (a number of 23 digits) contains 22 as substring.

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 104964856320.

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, 10032532 + ... + 10042988.

Almost surely, 2^104964856320 is an apocalyptic number.

104964856320 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 104964856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167924189664).

104964856320 is an abundant number, since it is smaller than the sum of its proper divisors (230883523008).

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

104964856320 is a wasteful number, since it uses less digits than its factorization.

104964856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11790 (or 11774 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 104964856320 in words is "one hundred four billion, nine hundred sixty-four million, eight hundred fifty-six thousand, three hundred twenty".