104664000 has 336 divisors, whose sum is σ = 406542240. Its totient is φ = 23654400.

The previous prime is 104663981. The next prime is 104664013. The reversal of 104664000 is 466401.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175956 + ... + 1176044.

Almost surely, 2^104664000 is an apocalyptic number.

104664000 is a gapful number since it is divisible by the number (10) 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 104664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203271120).

104664000 is an abundant number, since it is smaller than the sum of its proper divisors (301878240).

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

104664000 is an equidigital number, since it uses as much as digits as its factorization.

104664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

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

The square root of 104664000 is about 10230.5425076093. The cubic root of 104664000 is about 471.2656396154.

The spelling of 104664000 in words is "one hundred four million, six hundred sixty-four thousand".