205406112 has 72 divisors (see below), whose sum is σ = 569159136. Its totient is φ = 64854144.

The previous prime is 205406059. The next prime is 205406119. The reversal of 205406112 is 211604502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205406119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31693 + ... + 37619.

It is an arithmetic number, because the mean of its divisors is an integer number (7904988).

Almost surely, 2^205406112 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 205406112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284579568).

205406112 is an abundant number, since it is smaller than the sum of its proper divisors (363753024).

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

205406112 is a wasteful number, since it uses less digits than its factorization.

205406112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5951 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 205406112 is about 14331.9960926592. The cubic root of 205406112 is about 590.0259607460.

The spelling of 205406112 in words is "two hundred five million, four hundred six thousand, one hundred twelve".