104257805904 has 480 divisors, whose sum is σ = 362969268480. Its totient is φ = 27260928000.

The previous prime is 104257805881. The next prime is 104257805923. The reversal of 104257805904 is 409508752401.

104257805904 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 57 + 8 + 0 + 590 + 4 = 666.

It is a super-2 number, since 2×104257805904² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104257805904.

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 95 ways as a sum of consecutive naturals, for example, 102112914 + ... + 102113934.

It is an arithmetic number, because the mean of its divisors is an integer number (756185976).

Almost surely, 2^104257805904 is an apocalyptic number.

104257805904 is a gapful number since it is divisible by the number (14) 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 104257805904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181484634240).

104257805904 is an abundant number, since it is smaller than the sum of its proper divisors (258711462576).

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

104257805904 is a wasteful number, since it uses less digits than its factorization.

104257805904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 104257805904 in words is "one hundred four billion, two hundred fifty-seven million, eight hundred five thousand, nine hundred four".