104081920 has 80 divisors (see below), whose sum is σ = 252517320. Its totient is φ = 41140224.

The previous prime is 104081897. The next prime is 104081941. The reversal of 104081920 is 29180401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 92467456 + 11614464 = 9616^2 + 3408^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278854 + ... + 279226.

Almost surely, 2^104081920 is an apocalyptic number.

104081920 is a gapful number since it is divisible by the number (10) 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 104081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126258660).

104081920 is an abundant number, since it is smaller than the sum of its proper divisors (148435400).

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

104081920 is an equidigital number, since it uses as much as digits as its factorization.

104081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 104081920 is about 10202.0546950112. The cubic root of 104081920 is about 470.3903803546.

The spelling of 104081920 in words is "one hundred four million, eighty-one thousand, nine hundred twenty".