10109664 has 48 divisors (see below), whose sum is σ = 29489040. Its totient is φ = 3369600.

The previous prime is 10109651. The next prime is 10109683. The reversal of 10109664 is 46690101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4987 + ... + 6714.

It is an arithmetic number, because the mean of its divisors is an integer number (614355).

Almost surely, 2^10109664 is an apocalyptic number.

It is an amenable number.

10109664 is an abundant number, since it is smaller than the sum of its proper divisors (19379376).

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

10109664 is a wasteful number, since it uses less digits than its factorization.

10109664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11720 (or 11706 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10109664 is about 3179.5697822190. The cubic root of 10109664 is about 216.2281539850.

Adding to 10109664 its reverse (46690101), we get a palindrome (56799765).

The spelling of 10109664 in words is "ten million, one hundred nine thousand, six hundred sixty-four".