205145350300 has 288 divisors, whose sum is σ = 531046010880. Its totient is φ = 67978310400.

The previous prime is 205145350297. The next prime is 205145350309. The reversal of 205145350300 is 3053541502.

It is a super-2 number, since 2×205145350300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205145350309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60211197 + ... + 60214603.

It is an arithmetic number, because the mean of its divisors is an integer number (1843909760).

Almost surely, 2^205145350300 is an apocalyptic number.

205145350300 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 205145350300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265523005440).

205145350300 is an abundant number, since it is smaller than the sum of its proper divisors (325900660580).

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

205145350300 is a wasteful number, since it uses less digits than its factorization.

205145350300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

Adding to 205145350300 its reverse (3053541502), we get a palindrome (208198891802).

The spelling of 205145350300 in words is "two hundred five billion, one hundred forty-five million, three hundred fifty thousand, three hundred".