104934428160 has 320 divisors, whose sum is σ = 357991729920. Its totient is φ = 26143948800.

The previous prime is 104934428149. The next prime is 104934428161. The reversal of 104934428160 is 61824439401.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×104934428160² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104934428161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10647235 + ... + 10657085.

It is an arithmetic number, because the mean of its divisors is an integer number (1118724156).

Almost surely, 2^104934428160 is an apocalyptic number.

104934428160 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 104934428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178995864960).

104934428160 is an abundant number, since it is smaller than the sum of its proper divisors (253057301760).

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

104934428160 is an equidigital number, since it uses as much as digits as its factorization.

104934428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9969 (or 9953 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 104934428160 in words is "one hundred four billion, nine hundred thirty-four million, four hundred twenty-eight thousand, one hundred sixty".