205730124 has 96 divisors (see below), whose sum is σ = 535610880. Its totient is φ = 61129728.

The previous prime is 205730093. The next prime is 205730137. The reversal of 205730124 is 421037502.

It is a junction number, because it is equal to n+sod(n) for n = 205730094 and 205730103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 764662 + ... + 764930.

It is an arithmetic number, because the mean of its divisors is an integer number (5579280).

Almost surely, 2^205730124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205730124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267805440).

205730124 is an abundant number, since it is smaller than the sum of its proper divisors (329880756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205730124 is a wasteful number, since it uses less digits than its factorization.

205730124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 205730124 is about 14343.2954372417. The cubic root of 205730124 is about 590.3360376246.

Adding to 205730124 its reverse (421037502), we get a palindrome (626767626).

The spelling of 205730124 in words is "two hundred five million, seven hundred thirty thousand, one hundred twenty-four".