104966784 has 192 divisors, whose sum is σ = 334894560. Its totient is φ = 31352832.

The previous prime is 104966777. The next prime is 104966801. The reversal of 104966784 is 487669401.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×104966784² = 22036051486605312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643887 + ... + 644049.

Almost surely, 2^104966784 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 104966784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167447280).

104966784 is an abundant number, since it is smaller than the sum of its proper divisors (229927776).

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

104966784 is a wasteful number, since it uses less digits than its factorization.

104966784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 104966784 is about 10245.3298629180. The cubic root of 104966784 is about 471.7196458253.

The spelling of 104966784 in words is "one hundred four million, nine hundred sixty-six thousand, seven hundred eighty-four".