205106850 has 288 divisors, whose sum is σ = 653529600. Its totient is φ = 47174400.

The previous prime is 205106813. The next prime is 205106857. The reversal of 205106850 is 58601502.

205106850 is digitally balanced in base 2, 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 (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205106857) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6616335 + ... + 6616365.

It is an arithmetic number, because the mean of its divisors is an integer number (2269200).

Almost surely, 2^205106850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205106850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326764800).

205106850 is an abundant number, since it is smaller than the sum of its proper divisors (448422750).

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

205106850 is a wasteful number, since it uses less digits than its factorization.

205106850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 205106850 is about 14321.5519410433. The cubic root of 205106850 is about 589.7392796148.

The spelling of 205106850 in words is "two hundred five million, one hundred six thousand, eight hundred fifty".