205145320 has 16 divisors (see below), whose sum is σ = 461577060. Its totient is φ = 82058112.

The previous prime is 205145249. The next prime is 205145323. The reversal of 205145320 is 23541502.

It can be written as a sum of positive squares in 2 ways, for example, as 199317924 + 5827396 = 14118^2 + 2414^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205145291 and 205145300.

It is not an unprimeable number, because it can be changed into a prime (205145323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2564277 + ... + 2564356.

Almost surely, 2^205145320 is an apocalyptic number.

205145320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205145320 is an abundant number, since it is smaller than the sum of its proper divisors (256431740).

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

205145320 is a wasteful number, since it uses less digits than its factorization.

205145320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128644 (or 5128640 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 205145320 is about 14322.8949587714. The cubic root of 205145320 is about 589.7761479623.

Adding to 205145320 its reverse (23541502), we get a palindrome (228686822).

The spelling of 205145320 in words is "two hundred five million, one hundred forty-five thousand, three hundred twenty".