205200106 has 16 divisors (see below), whose sum is σ = 311312160. Its totient is φ = 101433520.

The previous prime is 205200097. The next prime is 205200119. The reversal of 205200106 is 601002502.

It is a happy number.

It is a super-2 number, since 2×205200106² = 84214167004822472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205200106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200865 + ... + 201883.

It is an arithmetic number, because the mean of its divisors is an integer number (19457010).

Almost surely, 2^205200106 is an apocalyptic number.

205200106 is a deficient number, since it is larger than the sum of its proper divisors (106112054).

205200106 is a wasteful number, since it uses less digits than its factorization.

205200106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 205200106 is about 14324.8073634517. The cubic root of 205200106 is about 589.8286450573.

Adding to 205200106 its reverse (601002502), we get a palindrome (806202608).

The spelling of 205200106 in words is "two hundred five million, two hundred thousand, one hundred six".