205242123 has 8 divisors (see below), whose sum is σ = 288059200. Its totient is φ = 129626568.

The previous prime is 205242109. The next prime is 205242127. The reversal of 205242123 is 321242502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 205242123 - 2¹⁴ = 205225739 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205242123.

It is not an unprimeable number, because it can be changed into a prime (205242127) 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 7 ways as a sum of consecutive naturals, for example, 1800313 + ... + 1800426.

It is an arithmetic number, because the mean of its divisors is an integer number (36007400).

Almost surely, 2^205242123 is an apocalyptic number.

205242123 is a deficient number, since it is larger than the sum of its proper divisors (82817077).

205242123 is a wasteful number, since it uses less digits than its factorization.

205242123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600761.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 205242123 is about 14326.2738700613. The cubic root of 205242123 is about 589.8689002978.

Adding to 205242123 its reverse (321242502), we get a palindrome (526484625).

The spelling of 205242123 in words is "two hundred five million, two hundred forty-two thousand, one hundred twenty-three".