105264222 has 16 divisors (see below), whose sum is σ = 240604032. Its totient is φ = 30075480.

The previous prime is 105264217. The next prime is 105264227. The reversal of 105264222 is 222462501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105264217) and next prime (105264227).

It is a super-2 number, since 2×105264222² = 22161112866530568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105264192 and 105264201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105264227) by changing a digit.

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, 1253104 + ... + 1253187.

It is an arithmetic number, because the mean of its divisors is an integer number (15037752).

Almost surely, 2^105264222 is an apocalyptic number.

105264222 is an abundant number, since it is smaller than the sum of its proper divisors (135339810).

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

105264222 is a wasteful number, since it uses less digits than its factorization.

105264222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506303.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 105264222 is about 10259.8353787963. The cubic root of 105264222 is about 472.1647867359.

The spelling of 105264222 in words is "one hundred five million, two hundred sixty-four thousand, two hundred twenty-two".