205005124 has 9 divisors (see below), whose sum is σ = 358809087. Its totient is φ = 102488244.

The previous prime is 205005121. The next prime is 205005131. The reversal of 205005124 is 421500502.

The square root of 205005124 is 14318.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205005121) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 25057 + ... + 32215.

Almost surely, 2^205005124 is an apocalyptic number.

205005124 is the 14318-th square number.

It is an amenable number.

205005124 is a deficient number, since it is larger than the sum of its proper divisors (153803963).

205005124 is an frugal number, since it uses more digits than its factorization.

205005124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14322 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The cubic root of 205005124 is about 589.6417666378.

Multiplying 205005124 by its product of nonzero digits (400), we get a square (82002049600 = 286360²).

Adding to 205005124 its reverse (421500502), we get a palindrome (626505626).

The spelling of 205005124 in words is "two hundred five million, five thousand, one hundred twenty-four".