205105312 has 24 divisors (see below), whose sum is σ = 404176500. Its totient is φ = 102457344.

The previous prime is 205105279. The next prime is 205105333. The reversal of 205105312 is 213501502.

It can be written as a sum of positive squares in 2 ways, for example, as 195888016 + 9217296 = 13996^2 + 3036^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 205105312.

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 3 ways as a sum of consecutive naturals, for example, 42814 + ... + 47362.

Almost surely, 2^205105312 is an apocalyptic number.

It is an amenable number.

205105312 is a deficient number, since it is larger than the sum of its proper divisors (199071188).

205105312 is a wasteful number, since it uses less digits than its factorization.

205105312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5968 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 205105312 is about 14321.4982456446. The cubic root of 205105312 is about 589.7378055518.

Adding to 205105312 its reverse (213501502), we get a palindrome (418606814).

The spelling of 205105312 in words is "two hundred five million, one hundred five thousand, three hundred twelve".