205060200 has 96 divisors (see below), whose sum is σ = 645300960. Its totient is φ = 53856000.

The previous prime is 205060181. The next prime is 205060211. The reversal of 205060200 is 2060502.

205060200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 205060200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37650 + ... + 42750.

It is an arithmetic number, because the mean of its divisors is an integer number (6721885).

Almost surely, 2^205060200 is an apocalyptic number.

205060200 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 205060200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322650480).

205060200 is an abundant number, since it is smaller than the sum of its proper divisors (440240760).

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

205060200 is a wasteful number, since it uses less digits than its factorization.

205060200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 205060200 is about 14319.9231841515. The cubic root of 205060200 is about 589.6945656468.

The spelling of 205060200 in words is "two hundred five million, sixty thousand, two hundred".