104916007664 has 80 divisors (see below), whose sum is σ = 226262851584. Its totient is φ = 46800633600.

The previous prime is 104916007657. The next prime is 104916007709. The reversal of 104916007664 is 466700619401.

It is a super-2 number, since 2×104916007664² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5219297 + ... + 5239359.

Almost surely, 2^104916007664 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 104916007664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113131425792).

104916007664 is an abundant number, since it is smaller than the sum of its proper divisors (121346843920).

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

104916007664 is a wasteful number, since it uses less digits than its factorization.

104916007664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20926 (or 20920 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 104916007664 in words is "one hundred four billion, nine hundred sixteen million, seven thousand, six hundred sixty-four".