104704128 has 96 divisors (see below), whose sum is σ = 304728060. Its totient is φ = 34504704.

The previous prime is 104704091. The next prime is 104704133. The reversal of 104704128 is 821407401.

It can be written as a sum of positive squares in 2 ways, for example, as 95413824 + 9290304 = 9768^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111276 + ... + 112212.

Almost surely, 2^104704128 is an apocalyptic number.

104704128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152364030).

104704128 is an abundant number, since it is smaller than the sum of its proper divisors (200023932).

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

104704128 is an equidigital number, since it uses as much as digits as its factorization.

104704128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 104704128 is about 10232.5035059852. The cubic root of 104704128 is about 471.3258594022.

The spelling of 104704128 in words is "one hundred four million, seven hundred four thousand, one hundred twenty-eight".