205103225 has 24 divisors (see below), whose sum is σ = 265797720. Its totient is φ = 156800000.

The previous prime is 205103207. The next prime is 205103251. The reversal of 205103225 is 522301502.

It can be written as a sum of positive squares in 12 ways, for example, as 10137856 + 194965369 = 3184^2 + 13963^2 .

It is not a de Polignac number, because 205103225 - 2⁸ = 205102969 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 205103197 and 205103206.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 71825 + ... + 74625.

It is an arithmetic number, because the mean of its divisors is an integer number (11074905).

Almost surely, 2^205103225 is an apocalyptic number.

205103225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205103225 is a deficient number, since it is larger than the sum of its proper divisors (60694495).

205103225 is a wasteful number, since it uses less digits than its factorization.

205103225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 205103225 is about 14321.4253829708. The cubic root of 205103225 is about 589.7358052997.

Adding to 205103225 its reverse (522301502), we get a palindrome (727404727).

The spelling of 205103225 in words is "two hundred five million, one hundred three thousand, two hundred twenty-five".