104855328 has 72 divisors (see below), whose sum is σ = 305152848. Its totient is φ = 34134912.

The previous prime is 104855297. The next prime is 104855341. The reversal of 104855328 is 823558401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 104855292 and 104855301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8151 + ... + 16617.

It is an arithmetic number, because the mean of its divisors is an integer number (4238234).

Almost surely, 2^104855328 is an apocalyptic number.

104855328 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 104855328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152576424).

104855328 is an abundant number, since it is smaller than the sum of its proper divisors (200297520).

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

104855328 is a wasteful number, since it uses less digits than its factorization.

104855328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8526 (or 8515 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 104855328 is about 10239.8890618991. The cubic root of 104855328 is about 471.5526259910.

The spelling of 104855328 in words is "one hundred four million, eight hundred fifty-five thousand, three hundred twenty-eight".