105221112 has 32 divisors (see below), whose sum is σ = 268019280. Its totient is φ = 34411520.

The previous prime is 105221101. The next prime is 105221117. The reversal of 105221112 is 211122501.

It is a super-2 number, since 2×105221112² = 22142964821033088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105221091 and 105221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105221117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40089 + ... + 42632.

Almost surely, 2^105221112 is an apocalyptic number.

105221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105221112 is an abundant number, since it is smaller than the sum of its proper divisors (162798168).

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

105221112 is a wasteful number, since it uses less digits than its factorization.

105221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82783 (or 82779 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 105221112 is about 10257.7342527480. The cubic root of 105221112 is about 472.1003210104.

Adding to 105221112 its reverse (211122501), we get a palindrome (316343613).

The spelling of 105221112 in words is "one hundred five million, two hundred twenty-one thousand, one hundred twelve".