205093116 has 36 divisors (see below), whose sum is σ = 540972432. Its totient is φ = 65391744.

The previous prime is 205093103. The next prime is 205093121. The reversal of 205093116 is 611390502.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 205093116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123021 + ... + 124676.

It is an arithmetic number, because the mean of its divisors is an integer number (15027012).

Almost surely, 2^205093116 is an apocalyptic number.

It is an amenable number.

205093116 is an abundant number, since it is smaller than the sum of its proper divisors (335879316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205093116 is a wasteful number, since it uses less digits than its factorization.

205093116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247730 (or 247725 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 205093116 is about 14321.0724458750. The cubic root of 205093116 is about 589.7261162969.

It can be divided in two parts, 205093 and 116, that added together give a square (205209 = 453²).

The spelling of 205093116 in words is "two hundred five million, ninety-three thousand, one hundred sixteen".