104057968 has 80 divisors (see below), whose sum is σ = 239468800. Its totient is φ = 43775424.

The previous prime is 104057963. The next prime is 104057981. The reversal of 104057968 is 869750401.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 104057968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104057963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367555 + ... + 367837.

It is an arithmetic number, because the mean of its divisors is an integer number (2993360).

Almost surely, 2^104057968 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 104057968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119734400).

104057968 is an abundant number, since it is smaller than the sum of its proper divisors (135410832).

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

104057968 is an equidigital number, since it uses as much as digits as its factorization.

104057968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 104057968 is about 10200.8807462885. The cubic root of 104057968 is about 470.3542945011.

The spelling of 104057968 in words is "one hundred four million, fifty-seven thousand, nine hundred sixty-eight".