2005221105 has 24 divisors (see below), whose sum is σ = 3569657832. Its totient is φ = 1040546304.

The previous prime is 2005221103. The next prime is 2005221109. The reversal of 2005221105 is 5011225002.

It can be written as a sum of positive squares in 4 ways, for example, as 624950001 + 1380271104 = 24999^2 + 37152^2 .

It is not a de Polignac number, because 2005221105 - 2¹ = 2005221103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2005221103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600504 + ... + 603833.

It is an arithmetic number, because the mean of its divisors is an integer number (148735743).

Almost surely, 2^2005221105 is an apocalyptic number.

It is an amenable number.

2005221105 is a deficient number, since it is larger than the sum of its proper divisors (1564436727).

2005221105 is a wasteful number, since it uses less digits than its factorization.

2005221105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204385 (or 1204382 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2005221105 is about 44779.6952312094. The cubic root of 2005221105 is about 1261.0164605870.

Adding to 2005221105 its reverse (5011225002), we get a palindrome (7016446107).

The spelling of 2005221105 in words is "two billion, five million, two hundred twenty-one thousand, one hundred five".