5105664 has 72 divisors (see below), whose sum is σ = 14799330. Its totient is φ = 1695744.

The previous prime is 5105641. The next prime is 5105671. The reversal of 5105664 is 4665015.

It is a happy number.

5105664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4875264 + 230400 = 2208^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18294 + ... + 18570.

Almost surely, 2^5105664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399665).

5105664 is an abundant number, since it is smaller than the sum of its proper divisors (9693666).

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

5105664 is a wasteful number, since it uses less digits than its factorization.

5105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5105664 is about 2259.5716408204. The cubic root of 5105664 is about 172.1937603715.

The spelling of 5105664 in words is "five million, one hundred five thousand, six hundred sixty-four".