205050200 has 48 divisors (see below), whose sum is σ = 481509360. Its totient is φ = 81200000.

The previous prime is 205050191. The next prime is 205050227. The reversal of 205050200 is 2050502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15125 + ... + 25275.

It is an arithmetic number, because the mean of its divisors is an integer number (10031445).

Almost surely, 2^205050200 is an apocalyptic number.

205050200 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 205050200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240754680).

205050200 is an abundant number, since it is smaller than the sum of its proper divisors (276459160).

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

205050200 is a wasteful number, since it uses less digits than its factorization.

205050200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10268 (or 10259 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 205050200 is about 14319.5740160104. The cubic root of 205050200 is about 589.6849797764.

205050200 divided by its product of nonzero digits (100) gives a palindrome (2050502).

Multiplying 205050200 by its reverse (2050502), we get a square (420455845200400 = 20505020²).

205050200 divided by its reverse (2050502) gives a square (100 = 10²).

The spelling of 205050200 in words is "two hundred five million, fifty thousand, two hundred".