104573265408 has 280 divisors, whose sum is σ = 314456467248. Its totient is φ = 34725998592.

The previous prime is 104573265347. The next prime is 104573265431. The reversal of 104573265408 is 804562375401.

104573265408 is a `hidden beast` number, since 1 + 0 + 4 + 573 + 26 + 54 + 0 + 8 = 666.

104573265408 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 187743466 + ... + 187744022.

Almost surely, 2^104573265408 is an apocalyptic number.

104573265408 is a gapful number since it is divisible by the number (18) 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 104573265408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157228233624).

104573265408 is an abundant number, since it is smaller than the sum of its proper divisors (209883201840).

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

104573265408 is an frugal number, since it uses more digits than its factorization.

104573265408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 104573265408 in words is "one hundred four billion, five hundred seventy-three million, two hundred sixty-five thousand, four hundred eight".