205108820 has 48 divisors (see below), whose sum is σ = 494876928. Its totient is φ = 69949440.

The previous prime is 205108811. The next prime is 205108823. The reversal of 205108820 is 28801502.

205108820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205108820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205108823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23225 + ... + 30815.

It is an arithmetic number, because the mean of its divisors is an integer number (10309936).

Almost surely, 2^205108820 is an apocalyptic number.

205108820 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 205108820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247438464).

205108820 is an abundant number, since it is smaller than the sum of its proper divisors (289768108).

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

205108820 is a wasteful number, since it uses less digits than its factorization.

205108820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7800 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 205108820 is about 14321.6207183405. The cubic root of 205108820 is about 589.7411677082.

The spelling of 205108820 in words is "two hundred five million, one hundred eight thousand, eight hundred twenty".