206005300 has 36 divisors (see below), whose sum is σ = 447841996. Its totient is φ = 82252800.

The previous prime is 206005297. The next prime is 206005309. The reversal of 206005300 is 3500602.

It can be written as a sum of positive squares in 6 ways, for example, as 599076 + 205406224 = 774^2 + 14332^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206005309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65770 + ... + 68830.

Almost surely, 2^206005300 is an apocalyptic number.

206005300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206005300 is an abundant number, since it is smaller than the sum of its proper divisors (241836696).

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

206005300 is a wasteful number, since it uses less digits than its factorization.

206005300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 206005300 is about 14352.8847274686. The cubic root of 206005300 is about 590.5991232842.

Adding to 206005300 its reverse (3500602), we get a palindrome (209505902).

The spelling of 206005300 in words is "two hundred six million, five thousand, three hundred".