104968065840 has 320 divisors, whose sum is σ = 372661862400. Its totient is φ = 24207436800.

The previous prime is 104968065821. The next prime is 104968065863. The reversal of 104968065840 is 48560869401.

It is a super-2 number, since 2×104968065840² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4817691 + ... + 4839429.

It is an arithmetic number, because the mean of its divisors is an integer number (1164568320).

Almost surely, 2^104968065840 is an apocalyptic number.

104968065840 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 104968065840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186330931200).

104968065840 is an abundant number, since it is smaller than the sum of its proper divisors (267693796560).

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

104968065840 is a wasteful number, since it uses less digits than its factorization.

104968065840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21856 (or 21850 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 104968065840 in words is "one hundred four billion, nine hundred sixty-eight million, sixty-five thousand, eight hundred forty".