104506052404320 has 432 divisors, whose sum is σ = 414945013221648. Its totient is φ = 23881725020160.

The previous prime is 104506052404319. The next prime is 104506052404331. The reversal of 104506052404320 is 23404250605401.

104506052404320 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 0 + 605 + 2 + 4 + 0 + 43 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 317849610 + ... + 318178230.

It is an arithmetic number, because the mean of its divisors is an integer number (960520863939).

Almost surely, 2^{104506052404320} is an apocalyptic number.

104506052404320 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 104506052404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207472506610824).

104506052404320 is an abundant number, since it is smaller than the sum of its proper divisors (310438960817328).

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

104506052404320 is a wasteful number, since it uses less digits than its factorization.

104506052404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333163 (or 333145 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 104506052404320 in words is "one hundred four trillion, five hundred six billion, fifty-two million, four hundred four thousand, three hundred twenty".