104985504 has 144 divisors (see below), whose sum is σ = 332035200. Its totient is φ = 32258304.

The previous prime is 104985497. The next prime is 104985541. The reversal of 104985504 is 405589401.

104985504 is a `hidden beast` number, since 10 + 4 + 98 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×104985504² = 22043912100268032, which 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145657 + ... + 146375.

It is an arithmetic number, because the mean of its divisors is an integer number (2305800).

Almost surely, 2^104985504 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 104985504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166017600).

104985504 is an abundant number, since it is smaller than the sum of its proper divisors (227049696).

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

104985504 is a wasteful number, since it uses less digits than its factorization.

104985504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 104985504 is about 10246.2434091720. The cubic root of 104985504 is about 471.7476866541.

The spelling of 104985504 in words is "one hundred four million, nine hundred eighty-five thousand, five hundred four".