205082112 has 160 divisors (see below), whose sum is σ = 581391360. Its totient is φ = 64143360.

The previous prime is 205082089. The next prime is 205082131. The reversal of 205082112 is 211280502.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2809308 + ... + 2809380.

It is an arithmetic number, because the mean of its divisors is an integer number (3633696).

Almost surely, 2^205082112 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 205082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290695680).

205082112 is an abundant number, since it is smaller than the sum of its proper divisors (376309248).

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

205082112 is an equidigital number, since it uses as much as digits as its factorization.

205082112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 205082112 is about 14320.6882516170. The cubic root of 205082112 is about 589.7155691165.

The spelling of 205082112 in words is "two hundred five million, eighty-two thousand, one hundred twelve".