10113664 has 48 divisors (see below), whose sum is σ = 22180410. Its totient is φ = 4590080.

The previous prime is 10113647. The next prime is 10113667. The reversal of 10113664 is 46631101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9486400 + 627264 = 3080^2 + 792^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10113667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15162 + ... + 15814.

Almost surely, 2^10113664 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 10113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11090205).

10113664 is an abundant number, since it is smaller than the sum of its proper divisors (12066746).

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

10113664 is an equidigital number, since it uses as much as digits as its factorization.

10113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 10113664 is about 3180.1987359283. The cubic root of 10113664 is about 216.2566679089.

Adding to 10113664 its reverse (46631101), we get a palindrome (56744765).

The spelling of 10113664 in words is "ten million, one hundred thirteen thousand, six hundred sixty-four".