204105642013 has 32 divisors (see below), whose sum is σ = 251795344640. Its totient is φ = 161112499200.

The previous prime is 204105642007. The next prime is 204105642017. The reversal of 204105642013 is 310246501402.

204105642013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 204105642013 - 2²¹ = 204103544861 is a prime.

It is a super-2 number, since 2×204105642013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204105642017) 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 31 ways as a sum of consecutive naturals, for example, 116831206 + ... + 116832952.

It is an arithmetic number, because the mean of its divisors is an integer number (7868604520).

Almost surely, 2^204105642013 is an apocalyptic number.

It is an amenable number.

204105642013 is a deficient number, since it is larger than the sum of its proper divisors (47689702627).

204105642013 is a wasteful number, since it uses less digits than its factorization.

204105642013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037.

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 204105642013 in words is "two hundred four billion, one hundred five million, six hundred forty-two thousand, thirteen".