104881168 has 80 divisors (see below), whose sum is σ = 245520000. Its totient is φ = 43333248.

The previous prime is 104881141. The next prime is 104881193. The reversal of 104881168 is 861188401.

It is a super-2 number, since 2×104881168² = 22000118802088448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158823 + ... + 159481.

It is an arithmetic number, because the mean of its divisors is an integer number (3069000).

Almost surely, 2^104881168 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 104881168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122760000).

104881168 is an abundant number, since it is smaller than the sum of its proper divisors (140638832).

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

104881168 is an equidigital number, since it uses as much as digits as its factorization.

104881168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 37.

The square root of 104881168 is about 10241.1507165943. The cubic root of 104881168 is about 471.5913584658.

The spelling of 104881168 in words is "one hundred four million, eight hundred eighty-one thousand, one hundred sixty-eight".