104685634560 has 704 divisors, whose sum is σ = 389400318720. Its totient is φ = 23781703680.

The previous prime is 104685634489. The next prime is 104685634583. The reversal of 104685634560 is 65436586401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155550384 + ... + 155551056.

Almost surely, 2^104685634560 is an apocalyptic number.

104685634560 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 104685634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194700159360).

104685634560 is an abundant number, since it is smaller than the sum of its proper divisors (284714684160).

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

104685634560 is a wasteful number, since it uses less digits than its factorization.

104685634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 104685634560 in words is "one hundred four billion, six hundred eighty-five million, six hundred thirty-four thousand, five hundred sixty".