205838112200 has 108 divisors (see below), whose sum is σ = 556829576865. Its totient is φ = 70557668160.

The previous prime is 205838112187. The next prime is 205838112257. The reversal of 205838112200 is 2211838502.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 201721349956 + 4116762244 = 449134^2 + 64162^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=320810.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44911109 + ... + 44915691.

Almost surely, 2^205838112200 is an apocalyptic number.

205838112200 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 205838112200

205838112200 is an abundant number, since it is smaller than the sum of its proper divisors (350991464665).

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

205838112200 is an frugal number, since it uses more digits than its factorization.

205838112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Multiplying 205838112200 by its sum of digits (32), we get a square (6586819590400 = 2566480²).

The spelling of 205838112200 in words is "two hundred five billion, eight hundred thirty-eight million, one hundred twelve thousand, two hundred".