10045252 has 48 divisors (see below), whose sum is σ = 21168000. Its totient is φ = 4080384.

The previous prime is 10045247. The next prime is 10045253. The reversal of 10045252 is 25254001.

It is not an unprimeable number, because it can be changed into a prime (10045253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72199 + ... + 72337.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 2^10045252 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 10045252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584000).

10045252 is an abundant number, since it is smaller than the sum of its proper divisors (11122748).

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

10045252 is a wasteful number, since it uses less digits than its factorization.

10045252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 10045252 is about 3169.4245534481. The cubic root of 10045252 is about 215.7679549683.

Adding to 10045252 its reverse (25254001), we get a palindrome (35299253).

The spelling of 10045252 in words is "ten million, forty-five thousand, two hundred fifty-two".