205200105 has 32 divisors (see below), whose sum is σ = 361888128. Its totient is φ = 98457600.

The previous prime is 205200097. The next prime is 205200119. The reversal of 205200105 is 501002502.

It is not a de Polignac number, because 205200105 - 2³ = 205200097 is a prime.

It is a super-2 number, since 2×205200105² = 84214166184022050, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9595 + ... + 22415.

It is an arithmetic number, because the mean of its divisors is an integer number (11309004).

Almost surely, 2^205200105 is an apocalyptic number.

It is an amenable number.

205200105 is a deficient number, since it is larger than the sum of its proper divisors (156688023).

205200105 is a wasteful number, since it uses less digits than its factorization.

205200105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12937.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 205200105 is about 14324.8073285472. The cubic root of 205200105 is about 589.8286440992.

Adding to 205200105 its reverse (501002502), we get a palindrome (706202607).

The spelling of 205200105 in words is "two hundred five million, two hundred thousand, one hundred five".