104728608 has 72 divisors (see below), whose sum is σ = 313513200. Its totient is φ = 33070464.

The previous prime is 104728601. The next prime is 104728661. The reversal of 104728608 is 806827401.

104728608 is a `hidden beast` number, since 1 + 0 + 47 + 2 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (104728601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4098 + ... + 15041.

It is an arithmetic number, because the mean of its divisors is an integer number (4354350).

Almost surely, 2^104728608 is an apocalyptic number.

104728608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104728608 is an abundant number, since it is smaller than the sum of its proper divisors (208784592).

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

104728608 is a wasteful number, since it uses less digits than its factorization.

104728608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19174 (or 19163 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 104728608 is about 10233.6996242806. The cubic root of 104728608 is about 471.3625887976.

The spelling of 104728608 in words is "one hundred four million, seven hundred twenty-eight thousand, six hundred eight".