104664 has 48 divisors (see below), whose sum is σ = 307800. Its totient is φ = 29568.

The previous prime is 104659. The next prime is 104677. The reversal of 104664 is 466401.

104664 = 20² + 21² + ... + 68².

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 104664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1132 + ... + 1220.

2¹⁰⁴⁶⁶⁴ is an apocalyptic number.

104664 is a gapful number since it is divisible by the number (14) 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 104664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153900).

104664 is an abundant number, since it is smaller than the sum of its proper divisors (203136).

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

104664 is a wasteful number, since it uses less digits than its factorization.

104664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 104664 is about 323.5181602322. The cubic root of 104664 is about 47.1265639615.

The spelling of 104664 in words is "one hundred four thousand, six hundred sixty-four".