10105664 has 14 divisors (see below), whose sum is σ = 20053554. Its totient is φ = 5052800.

The previous prime is 10105661. The next prime is 10105709. The reversal of 10105664 is 46650101.

It can be written as a sum of positive squares in only one way, i.e., 7795264 + 2310400 = 2792^2 + 1520^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78887 + ... + 79014.

Almost surely, 2^10105664 is an apocalyptic number.

It is an amenable number.

10105664 is a deficient number, since it is larger than the sum of its proper divisors (9947890).

10105664 is an equidigital number, since it uses as much as digits as its factorization.

10105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157913 (or 157903 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 10105664 is about 3178.9407040711. The cubic root of 10105664 is about 216.1996325389.

Adding to 10105664 its reverse (46650101), we get a palindrome (56755765).

The spelling of 10105664 in words is "ten million, one hundred five thousand, six hundred sixty-four".