204101757 has 12 divisors (see below), whose sum is σ = 295459164. Its totient is φ = 135769920.

The previous prime is 204101719. The next prime is 204101759. The reversal of 204101757 is 757101402.

204101757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 91126116 + 112975641 = 9546^2 + 10629^2 .

It is not a de Polignac number, because 204101757 - 2¹⁰ = 204100733 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 204101757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204101759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20448 + ... + 28745.

It is an arithmetic number, because the mean of its divisors is an integer number (24621597).

Almost surely, 2^204101757 is an apocalyptic number.

It is an amenable number.

204101757 is a deficient number, since it is larger than the sum of its proper divisors (91357407).

204101757 is a wasteful number, since it uses less digits than its factorization.

204101757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49660 (or 49657 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 204101757 is about 14286.4186204941. The cubic root of 204101757 is about 588.7743944346.

The spelling of 204101757 in words is "two hundred four million, one hundred one thousand, seven hundred fifty-seven".