105222969 has 20 divisors (see below), whose sum is σ = 165460240. Its totient is φ = 66455640.

The previous prime is 105222961. The next prime is 105222973. The reversal of 105222969 is 969222501.

It is a happy number.

It is not a de Polignac number, because 105222969 - 2³ = 105222961 is a prime.

It is a super-2 number, since 2×105222969² = 22143746410349922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105222961) 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 19 ways as a sum of consecutive naturals, for example, 32647 + ... + 35724.

It is an arithmetic number, because the mean of its divisors is an integer number (8273012).

Almost surely, 2^105222969 is an apocalyptic number.

105222969 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105222969 is a deficient number, since it is larger than the sum of its proper divisors (60237271).

105222969 is an equidigital number, since it uses as much as digits as its factorization.

105222969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68402 (or 68393 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 105222969 is about 10257.8247694138. The cubic root of 105222969 is about 472.1030982893.

The spelling of 105222969 in words is "one hundred five million, two hundred twenty-two thousand, nine hundred sixty-nine".