104680128 has 112 divisors (see below), whose sum is σ = 321283584. Its totient is φ = 29460480.

The previous prime is 104680127. The next prime is 104680129. The reversal of 104680128 is 821086401.

It is an interprime number because it is at equal distance from previous prime (104680127) and next prime (104680129).

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 104680095 and 104680104.

It is not an unprimeable number, because it can be changed into a prime (104680127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94876 + ... + 95972.

Almost surely, 2^104680128 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 104680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160641792).

104680128 is an abundant number, since it is smaller than the sum of its proper divisors (216603456).

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

104680128 is a wasteful number, since it uses less digits than its factorization.

104680128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 104680128 is about 10231.3307052406. The cubic root of 104680128 is about 471.2898446329.

The spelling of 104680128 in words is "one hundred four million, six hundred eighty thousand, one hundred twenty-eight".