205240096 has 48 divisors (see below), whose sum is σ = 416078208. Its totient is φ = 99596800.

The previous prime is 205240093. The next prime is 205240121. The reversal of 205240096 is 690042502.

205240096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (205240093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407781 + ... + 408283.

It is an arithmetic number, because the mean of its divisors is an integer number (8668296).

Almost surely, 2^205240096 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 205240096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208039104).

205240096 is an abundant number, since it is smaller than the sum of its proper divisors (210838112).

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

205240096 is a wasteful number, since it uses less digits than its factorization.

205240096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 205240096 is about 14326.2031257413. The cubic root of 205240096 is about 589.8669584154.

Adding to 205240096 its reverse (690042502), we get a palindrome (895282598).

The spelling of 205240096 in words is "two hundred five million, two hundred forty thousand, ninety-six".