205200096 has 96 divisors (see below), whose sum is σ = 556714368. Its totient is φ = 66147840.

The previous prime is 205200077. The next prime is 205200097. The reversal of 205200096 is 690002502.

205200096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205200097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392091 + ... + 392613.

It is an arithmetic number, because the mean of its divisors is an integer number (5799108).

Almost surely, 2^205200096 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 205200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278357184).

205200096 is an abundant number, since it is smaller than the sum of its proper divisors (351514272).

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

205200096 is a wasteful number, since it uses less digits than its factorization.

205200096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 205200096 is about 14324.8070144069. The cubic root of 205200096 is about 589.8286354760.

Adding to 205200096 its reverse (690002502), we get a palindrome (895202598).

The spelling of 205200096 in words is "two hundred five million, two hundred thousand, ninety-six".