10052824 has 16 divisors (see below), whose sum is σ = 19841400. Its totient is φ = 4761792.

The previous prime is 10052807. The next prime is 10052837. The reversal of 10052824 is 42825001.

It is a junction number, because it is equal to n+sod(n) for n = 10052795 and 10052804.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 32917 + ... + 33220.

Almost surely, 2^10052824 is an apocalyptic number.

It is an amenable number.

10052824 is a deficient number, since it is larger than the sum of its proper divisors (9788576).

10052824 is a wasteful number, since it uses less digits than its factorization.

10052824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66162 (or 66158 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 10052824 is about 3170.6188670353. The cubic root of 10052824 is about 215.8221558523.

Adding to 10052824 its reverse (42825001), we get a palindrome (52877825).

The spelling of 10052824 in words is "ten million, fifty-two thousand, eight hundred twenty-four".