104752128 has 176 divisors, whose sum is σ = 312716096. Its totient is φ = 30965760.

The previous prime is 104752117. The next prime is 104752139. The reversal of 104752128 is 821257401.

It is an interprime number because it is at equal distance from previous prime (104752117) and next prime (104752139).

It is a junction number, because it is equal to n+sod(n) for n = 104752095 and 104752104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1717218 + ... + 1717278.

It is an arithmetic number, because the mean of its divisors is an integer number (1776796).

Almost surely, 2^104752128 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 104752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156358048).

104752128 is an abundant number, since it is smaller than the sum of its proper divisors (207963968).

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

104752128 is a wasteful number, since it uses less digits than its factorization.

104752128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 104752128 is about 10234.8487043043. The cubic root of 104752128 is about 471.3978724336.

The spelling of 104752128 in words is "one hundred four million, seven hundred fifty-two thousand, one hundred twenty-eight".