104596128 has 216 divisors, whose sum is σ = 369296928. Its totient is φ = 27495936.

The previous prime is 104596117. The next prime is 104596153. The reversal of 104596128 is 821695401.

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

It is a junction number, because it is equal to n+sod(n) for n = 104596092 and 104596101.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340551 + ... + 340857.

It is an arithmetic number, because the mean of its divisors is an integer number (1709708).

Almost surely, 2^104596128 is an apocalyptic number.

104596128 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 104596128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184648464).

104596128 is an abundant number, since it is smaller than the sum of its proper divisors (264700800).

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

104596128 is a wasteful number, since it uses less digits than its factorization.

104596128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 104596128 is about 10227.2248435243. The cubic root of 104596128 is about 471.1637495737.

The spelling of 104596128 in words is "one hundred four million, five hundred ninety-six thousand, one hundred twenty-eight".