104448168 has 144 divisors (see below), whose sum is σ = 327818400. Its totient is φ = 29937600.

The previous prime is 104448167. The next prime is 104448193. The reversal of 104448168 is 861844401.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (104448167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165213 + ... + 165843.

Almost surely, 2^104448168 is an apocalyptic number.

104448168 is a gapful number since it is divisible by the number (18) 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 104448168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163909200).

104448168 is an abundant number, since it is smaller than the sum of its proper divisors (223370232).

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

104448168 is a wasteful number, since it uses less digits than its factorization.

104448168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 666 counting only the distinct ones).

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

The square root of 104448168 is about 10219.9886497002. The cubic root of 104448168 is about 470.9414778466.

The spelling of 104448168 in words is "one hundred four million, four hundred forty-eight thousand, one hundred sixty-eight".