10205225 has 6 divisors (see below), whose sum is σ = 12654510. Its totient is φ = 8164160.

The previous prime is 10205207. The next prime is 10205227. The reversal of 10205225 is 52250201.

10205225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 143641 + 10061584 = 379^2 + 3172^2 .

It is not a de Polignac number, because 10205225 - 2⁶ = 10205161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10205227) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204080 + ... + 204129.

It is an arithmetic number, because the mean of its divisors is an integer number (2109085).

Almost surely, 2^10205225 is an apocalyptic number.

It is an amenable number.

10205225 is a deficient number, since it is larger than the sum of its proper divisors (2449285).

10205225 is an equidigital number, since it uses as much as digits as its factorization.

10205225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408219 (or 408214 counting only the distinct ones).

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

The square root of 10205225 is about 3194.5617852845. The cubic root of 10205225 is about 216.9073131599.

Adding to 10205225 its reverse (52250201), we get a palindrome (62455426).

The spelling of 10205225 in words is "ten million, two hundred five thousand, two hundred twenty-five".