104880384 has 162 divisors, whose sum is σ = 352145430. Its totient is φ = 29933568.

The previous prime is 104880379. The next prime is 104880427. The reversal of 104880384 is 483088401.

It can be written as a sum of positive squares in only one way, i.e., 59721984 + 45158400 = 7728^2 + 6720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112432 + ... + 113360.

Almost surely, 2^104880384 is an apocalyptic number.

104880384 is a gapful number since it is divisible by the number (14) 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 104880384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176072715).

104880384 is an abundant number, since it is smaller than the sum of its proper divisors (247265046).

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

104880384 is an equidigital number, since it uses as much as digits as its factorization.

104880384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 104880384 is about 10241.1124395741. The cubic root of 104880384 is about 471.5901833946.

The spelling of 104880384 in words is "one hundred four million, eight hundred eighty thousand, three hundred eighty-four".