104964993792 has 108 divisors (see below), whose sum is σ = 302744946504. Its totient is φ = 34976194560.

The previous prime is 104964993779. The next prime is 104964993803. The reversal of 104964993792 is 297399469401.

104964993792 is a `hidden beast` number, since 10 + 49 + 6 + 499 + 3 + 7 + 92 = 666.

It is a super-2 number, since 2×104964993792² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8733067 + ... + 8745077.

Almost surely, 2^104964993792 is an apocalyptic number.

104964993792 is a gapful number since it is divisible by the number (12) 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 104964993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151372473252).

104964993792 is an abundant number, since it is smaller than the sum of its proper divisors (197779952712).

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

104964993792 is a wasteful number, since it uses less digits than its factorization.

104964993792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15826 (or 15809 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 104964993792 in words is "one hundred four billion, nine hundred sixty-four million, nine hundred ninety-three thousand, seven hundred ninety-two".