22105664 has 112 divisors (see below), whose sum is σ = 54864000. Its totient is φ = 8805888.

The previous prime is 22105649. The next prime is 22105679. The reversal of 22105664 is 46650122.

22105664 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (22105649) and next prime (22105679).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417062 + ... + 417114.

Almost surely, 2^22105664 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 22105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27432000).

22105664 is an abundant number, since it is smaller than the sum of its proper divisors (32758336).

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

22105664 is an equidigital number, since it uses as much as digits as its factorization.

22105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 22105664 is about 4701.6660876757. Note that the first 3 decimals coincide. The cubic root of 22105664 is about 280.6518147898.

Adding to 22105664 its reverse (46650122), we get a palindrome (68755786).

The spelling of 22105664 in words is "twenty-two million, one hundred five thousand, six hundred sixty-four".