205368300 has 108 divisors (see below), whose sum is σ = 647927280. Its totient is φ = 54407040.

The previous prime is 205368299. The next prime is 205368329. The reversal of 205368300 is 3863502.

It is a super-2 number, since 2×205368300² = 84352277289780000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155041 + ... + 156359.

Almost surely, 2^205368300 is an apocalyptic number.

205368300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205368300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323963640).

205368300 is an abundant number, since it is smaller than the sum of its proper divisors (442558980).

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

205368300 is a wasteful number, since it uses less digits than its factorization.

205368300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 205368300 is about 14330.6768856185. The cubic root of 205368300 is about 589.9897537242.

The spelling of 205368300 in words is "two hundred five million, three hundred sixty-eight thousand, three hundred".