10205252 has 6 divisors (see below), whose sum is σ = 17859198. Its totient is φ = 5102624.

The previous prime is 10205243. The next prime is 10205257. The reversal of 10205252 is 25250201.

It can be written as a sum of positive squares in only one way, i.e., 9156676 + 1048576 = 3026^2 + 1024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10205252.

It is not an unprimeable number, because it can be changed into a prime (10205257) by changing a digit.

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 as a sum of consecutive naturals, namely, 1275653 + ... + 1275660.

It is an arithmetic number, because the mean of its divisors is an integer number (2976533).

Almost surely, 2^10205252 is an apocalyptic number.

It is an amenable number.

10205252 is a deficient number, since it is larger than the sum of its proper divisors (7653946).

10205252 is a wasteful number, since it uses less digits than its factorization.

10205252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551317 (or 2551315 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 10205252 is about 3194.5660112134. The cubic root of 10205252 is about 216.9075044505.

Adding to 10205252 its reverse (25250201), we get a palindrome (35455453).

The spelling of 10205252 in words is "ten million, two hundred five thousand, two hundred fifty-two".