105221106 has 40 divisors (see below), whose sum is σ = 243914220. Its totient is φ = 33862752.

The previous prime is 105221101. The next prime is 105221117. The reversal of 105221106 is 601122501.

It can be written as a sum of positive squares in 2 ways, for example, as 95355225 + 9865881 = 9765^2 + 3141^2 .

It is a super-2 number, since 2×105221106² = 22142962295726472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (105221101) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6501 + ... + 15896.

Almost surely, 2^105221106 is an apocalyptic number.

105221106 is an abundant number, since it is smaller than the sum of its proper divisors (138693114).

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

105221106 is a wasteful number, since it uses less digits than its factorization.

105221106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22440 (or 22431 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105221106 is about 10257.7339602858. The cubic root of 105221106 is about 472.1003120369.

Adding to 105221106 its reverse (601122501), we get a palindrome (706343607).

It can be divided in two parts, 10522 and 1106, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 105221106 in words is "one hundred five million, two hundred twenty-one thousand, one hundred six".