105222117 has 64 divisors (see below), whose sum is σ = 193665024. Its totient is φ = 49040640.

The previous prime is 105222109. The next prime is 105222151. The reversal of 105222117 is 711222501.

It is not a de Polignac number, because 105222117 - 2³ = 105222109 is a prime.

It is a super-2 number, since 2×105222117² = 22143387811923378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 105222093 and 105222102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105222617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110638 + ... + 111584.

It is an arithmetic number, because the mean of its divisors is an integer number (3026016).

Almost surely, 2^105222117 is an apocalyptic number.

It is an amenable number.

105222117 is a deficient number, since it is larger than the sum of its proper divisors (88442907).

105222117 is a wasteful number, since it uses less digits than its factorization.

105222117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 105222117 is about 10257.7832400573. The cubic root of 105222117 is about 472.1018240652.

Adding to 105222117 its reverse (711222501), we get a palindrome (816444618).

It can be divided in two parts, 105 and 222117, that added together give a palindrome (222222).

The spelling of 105222117 in words is "one hundred five million, two hundred twenty-two thousand, one hundred seventeen".