104980128 has 96 divisors (see below), whose sum is σ = 304274880. Its totient is φ = 31426560.

The previous prime is 104980097. The next prime is 104980129. The reversal of 104980128 is 821089401.

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

It is a super-2 number, since 2×104980128² = 22041654549792768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (104980129) 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, 93426 + ... + 94542.

It is an arithmetic number, because the mean of its divisors is an integer number (3169530).

Almost surely, 2^104980128 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 104980128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152137440).

104980128 is an abundant number, since it is smaller than the sum of its proper divisors (199294752).

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

104980128 is a wasteful number, since it uses less digits than its factorization.

104980128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 104980128 is about 10245.9810657643. The cubic root of 104980128 is about 471.7396342445.

The spelling of 104980128 in words is "one hundred four million, nine hundred eighty thousand, one hundred twenty-eight".