104317808325120 has 1280 divisors, whose sum is σ = 423267209164800. Its totient is φ = 24140526059520.

The previous prime is 104317808325067. The next prime is 104317808325149. The reversal of 104317808325120 is 21523808713401.

104317808325120 is a `hidden beast` number, since 1 + 0 + 4 + 31 + 78 + 0 + 8 + 32 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2236492519 + ... + 2236539161.

It is an arithmetic number, because the mean of its divisors is an integer number (330677507160).

Almost surely, 2^{104317808325120} is an apocalyptic number.

104317808325120 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 104317808325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211633604582400).

104317808325120 is an abundant number, since it is smaller than the sum of its proper divisors (318949400839680).

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

104317808325120 is a wasteful number, since it uses less digits than its factorization.

104317808325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46838 (or 46816 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 104317808325120 in words is "one hundred four trillion, three hundred seventeen billion, eight hundred eight million, three hundred twenty-five thousand, one hundred twenty".