102211105 has 8 divisors (see below), whose sum is σ = 122762664. Its totient is φ = 81696000.

The previous prime is 102211093. The next prime is 102211121. The reversal of 102211105 is 501112201.

It can be written as a sum of positive squares in 4 ways, for example, as 6640929 + 95570176 = 2577^2 + 9776^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102211105 - 2⁹ = 102210593 is a prime.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 2506 + ... + 14515.

It is an arithmetic number, because the mean of its divisors is an integer number (15345333).

Almost surely, 2^102211105 is an apocalyptic number.

It is an amenable number.

102211105 is a deficient number, since it is larger than the sum of its proper divisors (20551559).

102211105 is a wasteful number, since it uses less digits than its factorization.

102211105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18227.

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 102211105 is about 10109.9507911760. The cubic root of 102211105 is about 467.5549879556.

Adding to 102211105 its reverse (501112201), we get a palindrome (603323306).

The spelling of 102211105 in words is "one hundred two million, two hundred eleven thousand, one hundred five".