205977105 has 24 divisors (see below), whose sum is σ = 357837480. Its totient is φ = 109605120.

The previous prime is 205977097. The next prime is 205977173. The reversal of 205977105 is 501779502.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 204861969 = 1056^2 + 14313^2 .

It is not a de Polignac number, because 205977105 - 2³ = 205977097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205977105.

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, 15781 + ... + 25709.

It is an arithmetic number, because the mean of its divisors is an integer number (14909895).

Almost surely, 2^205977105 is an apocalyptic number.

It is an amenable number.

205977105 is a deficient number, since it is larger than the sum of its proper divisors (151860375).

205977105 is a wasteful number, since it uses less digits than its factorization.

205977105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10401 (or 10398 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 205977105 is about 14351.9024871269. The cubic root of 205977105 is about 590.5721778577.

The spelling of 205977105 in words is "two hundred five million, nine hundred seventy-seven thousand, one hundred five".