205010208 has 144 divisors (see below), whose sum is σ = 664982136. Its totient is φ = 59351040.

The previous prime is 205010177. The next prime is 205010219. The reversal of 205010208 is 802010502.

205010208 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 4 ways, for example, as 187470864 + 17539344 = 13692^2 + 4188^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62038 + ... + 65258.

Almost surely, 2^205010208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205010208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332491068).

205010208 is an abundant number, since it is smaller than the sum of its proper divisors (459971928).

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

205010208 is a wasteful number, since it uses less digits than its factorization.

205010208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 205010208 is about 14318.1775376617. The cubic root of 205010208 is about 589.6466408476.

The spelling of 205010208 in words is "two hundred five million, ten thousand, two hundred eight".