205050300 has 432 divisors, whose sum is σ = 789636960. Its totient is φ = 40642560.

The previous prime is 205050247. The next prime is 205050319. The reversal of 205050300 is 3050502.

205050300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 205050300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5541882 + ... + 5541918.

Almost surely, 2^205050300 is an apocalyptic number.

205050300 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 205050300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394818480).

205050300 is an abundant number, since it is smaller than the sum of its proper divisors (584586660).

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

205050300 is a wasteful number, since it uses less digits than its factorization.

205050300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 205050300 is about 14319.5775077339. The cubic root of 205050300 is about 589.6850756366.

The spelling of 205050300 in words is "two hundred five million, fifty thousand, three hundred".