10213264 has 20 divisors (see below), whose sum is σ = 20272140. Its totient is φ = 4981760.

The previous prime is 10213261. The next prime is 10213283. The reversal of 10213264 is 46231201.

It can be written as a sum of positive squares in 2 ways, for example, as 1849600 + 8363664 = 1360^2 + 2892^2 .

It is not an unprimeable number, because it can be changed into a prime (10213261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7129 + ... + 8440.

It is an arithmetic number, because the mean of its divisors is an integer number (1013607).

Almost surely, 2^10213264 is an apocalyptic number.

It is an amenable number.

10213264 is a deficient number, since it is larger than the sum of its proper divisors (10058876).

10213264 is a wasteful number, since it uses less digits than its factorization.

10213264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15618 (or 15612 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 10213264 is about 3195.8197696366. The cubic root of 10213264 is about 216.9642532805.

Adding to 10213264 its reverse (46231201), we get a palindrome (56444465).

It can be divided in two parts, 102 and 13264, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 10213264 in words is "ten million, two hundred thirteen thousand, two hundred sixty-four".