205052124 has 24 divisors (see below), whose sum is σ = 487483920. Its totient is φ = 67060864.

The previous prime is 205052101. The next prime is 205052137. The reversal of 205052124 is 421250502.

It is a happy number.

205052124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205052124² = 84092747113822752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205052124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160569 + ... + 161840.

It is an arithmetic number, because the mean of its divisors is an integer number (20311830).

Almost surely, 2^205052124 is an apocalyptic number.

It is an amenable number.

205052124 is an abundant number, since it is smaller than the sum of its proper divisors (282431796).

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

205052124 is a wasteful number, since it uses less digits than its factorization.

205052124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322469 (or 322467 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 205052124 is about 14319.6411966222. The cubic root of 205052124 is about 589.6868241220.

The spelling of 205052124 in words is "two hundred five million, fifty-two thousand, one hundred twenty-four".