104378624 has 108 divisors (see below), whose sum is σ = 248511564. Its totient is φ = 43610112.

The previous prime is 104378597. The next prime is 104378629. The reversal of 104378624 is 426873401.

It can be written as a sum of positive squares in 2 ways, for example, as 52998400 + 51380224 = 7280^2 + 7168^2 .

It is not an unprimeable number, because it can be changed into a prime (104378629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 664754 + ... + 664910.

It is an arithmetic number, because the mean of its divisors is an integer number (2301033).

Almost surely, 2^104378624 is an apocalyptic number.

104378624 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 104378624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124255782).

104378624 is an abundant number, since it is smaller than the sum of its proper divisors (144132940).

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

104378624 is an equidigital number, since it uses as much as digits as its factorization.

104378624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 104378624 is about 10216.5857310552. The cubic root of 104378624 is about 470.8369334067.

The spelling of 104378624 in words is "one hundred four million, three hundred seventy-eight thousand, six hundred twenty-four".