205050096 has 80 divisors (see below), whose sum is σ = 601152000. Its totient is φ = 66889152.

The previous prime is 205050091. The next prime is 205050119. The reversal of 205050096 is 690050502.

205050096 is a `hidden beast` number, since 20 + 50 + 500 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205050091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15255 + ... + 25353.

It is an arithmetic number, because the mean of its divisors is an integer number (7514400).

Almost surely, 2^205050096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205050096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300576000).

205050096 is an abundant number, since it is smaller than the sum of its proper divisors (396101904).

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

205050096 is a wasteful number, since it uses less digits than its factorization.

205050096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10163 (or 10151 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 205050096 is about 14319.5703846170. The cubic root of 205050096 is about 589.6848800817.

The spelling of 205050096 in words is "two hundred five million, fifty thousand, ninety-six".