10152264 has 64 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 3144704.

The previous prime is 10152239. The next prime is 10152277. The reversal of 10152264 is 46225101.

It is a self number, because there is not a number n which added to its sum of digits gives 10152264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60709 + ... + 60875.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 2^10152264 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 10152264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

10152264 is an abundant number, since it is smaller than the sum of its proper divisors (17063736).

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

10152264 is a wasteful number, since it uses less digits than its factorization.

10152264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10152264 is about 3186.2617594918. The cubic root of 10152264 is about 216.5314417229.

Adding to 10152264 its reverse (46225101), we get a palindrome (56377365).

The spelling of 10152264 in words is "ten million, one hundred fifty-two thousand, two hundred sixty-four".