205235235300 has 288 divisors, whose sum is σ = 662489597952. Its totient is φ = 48789227520.

The previous prime is 205235235281. The next prime is 205235235341. The reversal of 205235235300 is 3532532502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12073407 + ... + 12090393.

It is an arithmetic number, because the mean of its divisors is an integer number (2300311104).

Almost surely, 2^205235235300 is an apocalyptic number.

205235235300 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 205235235300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331244798976).

205235235300 is an abundant number, since it is smaller than the sum of its proper divisors (457254362652).

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

205235235300 is a wasteful number, since it uses less digits than its factorization.

205235235300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17147 (or 17140 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

Adding to 205235235300 its reverse (3532532502), we get a palindrome (208767767802).

The spelling of 205235235300 in words is "two hundred five billion, two hundred thirty-five million, two hundred thirty-five thousand, three hundred".