205158980 has 48 divisors (see below), whose sum is σ = 465641904. Its totient is φ = 75479040.

The previous prime is 205158953. The next prime is 205158983. The reversal of 205158980 is 89851502.

205158980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 144817156 + 60341824 = 12034^2 + 7768^2 .

It is not an unprimeable number, because it can be changed into a prime (205158983) 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, 80120 + ... + 82640.

It is an arithmetic number, because the mean of its divisors is an integer number (9700873).

Almost surely, 2^205158980 is an apocalyptic number.

205158980 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 205158980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232820952).

205158980 is an abundant number, since it is smaller than the sum of its proper divisors (260482924).

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

205158980 is a wasteful number, since it uses less digits than its factorization.

205158980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 38.

The square root of 205158980 is about 14323.3718097381. The cubic root of 205158980 is about 589.7892381356.

The spelling of 205158980 in words is "two hundred five million, one hundred fifty-eight thousand, nine hundred eighty".