205000205 has 16 divisors (see below), whose sum is σ = 254521008. Its totient is φ = 158400000.

The previous prime is 205000189. The next prime is 205000223. The reversal of 205000205 is 502000502.

It can be written as a sum of positive squares in 8 ways, for example, as 10843849 + 194156356 = 3293^2 + 13934^2 .

It is not a de Polignac number, because 205000205 - 2⁴ = 205000189 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205000205.

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 15 ways as a sum of consecutive naturals, for example, 15755 + ... + 25655.

It is an arithmetic number, because the mean of its divisors is an integer number (15907563).

Almost surely, 2^205000205 is an apocalyptic number.

It is an amenable number.

205000205 is a deficient number, since it is larger than the sum of its proper divisors (49520803).

205000205 is a wasteful number, since it uses less digits than its factorization.

205000205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048.

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 205000205 is about 14317.8282221851. The cubic root of 205000205 is about 589.6370505426.

Adding to 205000205 its reverse (502000502), we get a palindrome (707000707).

The spelling of 205000205 in words is "two hundred five million, two hundred five", and thus it is an aban number.