205052676101 has 64 divisors (see below), whose sum is σ = 261708668928. Its totient is φ = 156360492288.

The previous prime is 205052676083. The next prime is 205052676113. The reversal of 205052676101 is 101676250502.

205052676101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-205052676101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205052676401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157369016 + ... + 157370318.

It is an arithmetic number, because the mean of its divisors is an integer number (4089197952).

Almost surely, 2^205052676101 is an apocalyptic number.

It is an amenable number.

205052676101 is a deficient number, since it is larger than the sum of its proper divisors (56655992827).

205052676101 is a wasteful number, since it uses less digits than its factorization.

205052676101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930.

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 205052676101 in words is "two hundred five billion, fifty-two million, six hundred seventy-six thousand, one hundred one".