104642689536 has 840 divisors, whose sum is σ = 394980365472. Its totient is φ = 27097804800.

The previous prime is 104642689523. The next prime is 104642689579. The reversal of 104642689536 is 635986246401.

104642689536 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 4 + 26 + 89 + 536 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 316140891 + ... + 316141221.

Almost surely, 2^104642689536 is an apocalyptic number.

104642689536 is a gapful number since it is divisible by the number (16) 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 104642689536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197490182736).

104642689536 is an abundant number, since it is smaller than the sum of its proper divisors (290337675936).

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

104642689536 is an frugal number, since it uses more digits than its factorization.

104642689536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 104642689536 in words is "one hundred four billion, six hundred forty-two million, six hundred eighty-nine thousand, five hundred thirty-six".