205232101 has 16 divisors (see below), whose sum is σ = 219769200. Its totient is φ = 191296000.

The previous prime is 205232087. The next prime is 205232107. The reversal of 205232101 is 101232502.

It can be written as a sum of positive squares in 8 ways, for example, as 4301476 + 200930625 = 2074^2 + 14175^2 .

It is a cyclic number.

It is not a de Polignac number, because 205232101 - 2¹⁹ = 204707813 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 (205232107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119235 + ... + 120943.

It is an arithmetic number, because the mean of its divisors is an integer number (13735575).

Almost surely, 2^205232101 is an apocalyptic number.

It is an amenable number.

205232101 is a deficient number, since it is larger than the sum of its proper divisors (14537099).

205232101 is a wasteful number, since it uses less digits than its factorization.

205232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 205232101 is about 14325.9240888677. The cubic root of 205232101 is about 589.8592990161.

Adding to 205232101 its reverse (101232502), we get a palindrome (306464603).

The spelling of 205232101 in words is "two hundred five million, two hundred thirty-two thousand, one hundred one".