204972101 has 12 divisors (see below), whose sum is σ = 211125996. Its totient is φ = 198959040.

The previous prime is 204972091. The next prime is 204972107. The reversal of 204972101 is 101279402.

It can be written as a sum of positive squares in 2 ways, for example, as 60996100 + 143976001 = 7810^2 + 11999^2 .

It is not a de Polignac number, because 204972101 - 2⁶ = 204972037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204972107) 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, 367715 + ... + 368271.

It is an arithmetic number, because the mean of its divisors is an integer number (17593833).

Almost surely, 2^204972101 is an apocalyptic number.

It is an amenable number.

204972101 is a deficient number, since it is larger than the sum of its proper divisors (6153895).

204972101 is an frugal number, since it uses more digits than its factorization.

204972101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 204972101 is about 14316.8467547851. The cubic root of 204972101 is about 589.6101043631.

The spelling of 204972101 in words is "two hundred four million, nine hundred seventy-two thousand, one hundred one".