104782305504 has 192 divisors, whose sum is σ = 282584332800. Its totient is φ = 33987796992.

The previous prime is 104782305487. The next prime is 104782305533. The reversal of 104782305504 is 405503287401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256191252 + ... + 256191660.

It is an arithmetic number, because the mean of its divisors is an integer number (1471793400).

Almost surely, 2^104782305504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104782305504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141292166400).

104782305504 is an abundant number, since it is smaller than the sum of its proper divisors (177802027296).

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

104782305504 is a wasteful number, since it uses less digits than its factorization.

104782305504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 104782305504 in words is "one hundred four billion, seven hundred eighty-two million, three hundred five thousand, five hundred four".