10152252 has 72 divisors (see below), whose sum is σ = 28933632. Its totient is φ = 2973600.

The previous prime is 10152239. The next prime is 10152277. The reversal of 10152252 is 25225101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11863 + ... + 12689.

It is an arithmetic number, because the mean of its divisors is an integer number (401856).

Almost surely, 2^10152252 is an apocalyptic number.

10152252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10152252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466816).

10152252 is an abundant number, since it is smaller than the sum of its proper divisors (18781380).

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

10152252 is a wasteful number, since it uses less digits than its factorization.

10152252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10152252 is about 3186.2598764068. The cubic root of 10152252 is about 216.5313564093.

Adding to 10152252 its reverse (25225101), we get a palindrome (35377353).

It can be divided in two parts, 10152 and 252, that added together give a square (10404 = 102²).

The spelling of 10152252 in words is "ten million, one hundred fifty-two thousand, two hundred fifty-two".