105122217 has 16 divisors (see below), whose sum is σ = 144393920. Its totient is φ = 67977792.

The previous prime is 105122201. The next prime is 105122249. The reversal of 105122217 is 712221501.

It is not a de Polignac number, because 105122217 - 2⁴ = 105122201 is a prime.

It is a super-2 number, since 2×105122217² = 22101361013990178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105122193 and 105122202.

It is not an unprimeable number, because it can be changed into a prime (105122287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40134 + ... + 42672.

It is an arithmetic number, because the mean of its divisors is an integer number (9024620).

Almost surely, 2^105122217 is an apocalyptic number.

It is an amenable number.

105122217 is a deficient number, since it is larger than the sum of its proper divisors (39271703).

105122217 is a wasteful number, since it uses less digits than its factorization.

105122217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952.

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

The square root of 105122217 is about 10252.9126105707. The cubic root of 105122217 is about 471.9523690924.

Adding to 105122217 its reverse (712221501), we get a palindrome (817343718).

The spelling of 105122217 in words is "one hundred five million, one hundred twenty-two thousand, two hundred seventeen".