10253205 has 12 divisors (see below), whose sum is σ = 17772300. Its totient is φ = 5468352.

The previous prime is 10253203. The next prime is 10253207. The reversal of 10253205 is 50235201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10253203) and next prime (10253207).

It can be written as a sum of positive squares in 2 ways, for example, as 2452356 + 7800849 = 1566^2 + 2793^2 .

It is not a de Polignac number, because 10253205 - 2¹ = 10253203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 113880 + ... + 113969.

It is an arithmetic number, because the mean of its divisors is an integer number (1481025).

Almost surely, 2^10253205 is an apocalyptic number.

10253205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10253205 is a deficient number, since it is larger than the sum of its proper divisors (7519095).

10253205 is a wasteful number, since it uses less digits than its factorization.

10253205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227860 (or 227857 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 10253205 is about 3202.0626165021. The cubic root of 10253205 is about 217.2467126822.

Adding to 10253205 its reverse (50235201), we get a palindrome (60488406).

The spelling of 10253205 in words is "ten million, two hundred fifty-three thousand, two hundred five".