221105312 has 24 divisors (see below), whose sum is σ = 445427136. Its totient is φ = 107980992.

The previous prime is 221105263. The next prime is 221105321. The reversal of 221105312 is 213501122.

It is a happy number.

221105312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 78968 + ... + 81719.

It is an arithmetic number, because the mean of its divisors is an integer number (18559464).

Almost surely, 2^221105312 is an apocalyptic number.

It is an amenable number.

221105312 is an abundant number, since it is smaller than the sum of its proper divisors (224321824).

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

221105312 is a wasteful number, since it uses less digits than its factorization.

221105312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160740 (or 160732 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 221105312 is about 14869.6103513172. The cubic root of 221105312 is about 604.6903791039.

Adding to 221105312 its reverse (213501122), we get a palindrome (434606434).

The spelling of 221105312 in words is "two hundred twenty-one million, one hundred five thousand, three hundred twelve".