104068160 has 84 divisors (see below), whose sum is σ = 288314892. Its totient is φ = 35675136.

The previous prime is 104068157. The next prime is 104068163. The reversal of 104068160 is 61860401.

It is an interprime number because it is at equal distance from previous prime (104068157) and next prime (104068163).

It can be written as a sum of positive squares in 2 ways, for example, as 14500864 + 89567296 = 3808^2 + 9464^2 .

It is not an unprimeable number, because it can be changed into a prime (104068163) 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, 12362 + ... + 18998.

Almost surely, 2^104068160 is an apocalyptic number.

104068160 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 104068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144157446).

104068160 is an abundant number, since it is smaller than the sum of its proper divisors (184246732).

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

104068160 is an equidigital number, since it uses as much as digits as its factorization.

104068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6668 (or 6651 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 104068160 is about 10201.3802987635. The cubic root of 104068160 is about 470.3696503473.

The spelling of 104068160 in words is "one hundred four million, sixty-eight thousand, one hundred sixty".