104907534336 has 468 divisors, whose sum is σ = 344992142040. Its totient is φ = 30656102400.

The previous prime is 104907534323. The next prime is 104907534337. The reversal of 104907534336 is 633435709401.

104907534336 is a `hidden beast` number, since 104 + 9 + 0 + 7 + 534 + 3 + 3 + 6 = 666.

It is a super-2 number, since 2×104907534336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104907534291 and 104907534300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104907534337) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129355371 + ... + 129356181.

Almost surely, 2^104907534336 is an apocalyptic number.

104907534336 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 104907534336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172496071020).

104907534336 is an abundant number, since it is smaller than the sum of its proper divisors (240084607704).

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

104907534336 is a wasteful number, since it uses less digits than its factorization.

104907534336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 104907534336 in words is "one hundred four billion, nine hundred seven million, five hundred thirty-four thousand, three hundred thirty-six".