104950016064 has 448 divisors, whose sum is σ = 336889344000. Its totient is φ = 31927633920.

The previous prime is 104950016011. The next prime is 104950016089. The reversal of 104950016064 is 460610059401.

104950016064 is a `hidden beast` number, since 1 + 0 + 49 + 5 + 0 + 0 + 1 + 606 + 4 = 666.

It is a super-2 number, since 2×104950016064² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111529834 + ... + 111530774.

Almost surely, 2^104950016064 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 104950016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168444672000).

104950016064 is an abundant number, since it is smaller than the sum of its proper divisors (231939327936).

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

104950016064 is a wasteful number, since it uses less digits than its factorization.

104950016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 104950016064 in words is "one hundred four billion, nine hundred fifty million, sixteen thousand, sixty-four".