104475168 has 144 divisors (see below), whose sum is σ = 351449280. Its totient is φ = 28804608.

The previous prime is 104475143. The next prime is 104475181. The reversal of 104475168 is 861574401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57571 + ... + 59357.

It is an arithmetic number, because the mean of its divisors is an integer number (2440620).

Almost surely, 2^104475168 is an apocalyptic number.

104475168 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 104475168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175724640).

104475168 is an abundant number, since it is smaller than the sum of its proper divisors (246974112).

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

104475168 is a wasteful number, since it uses less digits than its factorization.

104475168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 104475168 is about 10221.3095051466. The cubic root of 104475168 is about 470.9820540311.

The spelling of 104475168 in words is "one hundred four million, four hundred seventy-five thousand, one hundred sixty-eight".