104956508160 has 480 divisors, whose sum is σ = 429962813280. Its totient is φ = 23988731904.

The previous prime is 104956508159. The next prime is 104956508177. The reversal of 104956508160 is 61805659401.

104956508160 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 565 + 0 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×104956508160² (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5797042 + ... + 5815118.

It is an arithmetic number, because the mean of its divisors is an integer number (895755861).

Almost surely, 2^104956508160 is an apocalyptic number.

104956508160 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 104956508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214981406640).

104956508160 is an abundant number, since it is smaller than the sum of its proper divisors (325006305120).

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

104956508160 is an equidigital number, since it uses as much as digits as its factorization.

104956508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18123 (or 18094 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 104956508160 in words is "one hundred four billion, nine hundred fifty-six million, five hundred eight thousand, one hundred sixty".