104164668 has 72 divisors (see below), whose sum is σ = 270781056. Its totient is φ = 33751200.

The previous prime is 104164667. The next prime is 104164673. The reversal of 104164668 is 866461401.

104164668 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 646 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104164667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211903 + ... + 212393.

It is an arithmetic number, because the mean of its divisors is an integer number (3760848).

Almost surely, 2^104164668 is an apocalyptic number.

104164668 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 104164668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135390528).

104164668 is an abundant number, since it is smaller than the sum of its proper divisors (166616388).

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

104164668 is a wasteful number, since it uses less digits than its factorization.

104164668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 104164668 is about 10206.1093468569. The cubic root of 104164668 is about 470.5150051135.

The spelling of 104164668 in words is "one hundred four million, one hundred sixty-four thousand, six hundred sixty-eight".