105512217 has 16 divisors (see below), whose sum is σ = 149188032. Its totient is φ = 66101760.

The previous prime is 105512213. The next prime is 105512219. The reversal of 105512217 is 712215501.

It is not a de Polignac number, because 105512217 - 2² = 105512213 is a prime.

It is a super-2 number, since 2×105512217² = 22265655872510178, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105512213) 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, 45117 + ... + 47397.

It is an arithmetic number, because the mean of its divisors is an integer number (9324252).

Almost surely, 2^105512217 is an apocalyptic number.

105512217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105512217 is a deficient number, since it is larger than the sum of its proper divisors (43675815).

105512217 is a wasteful number, since it uses less digits than its factorization.

105512217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208.

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 105512217 is about 10271.9139891259. The cubic root of 105512217 is about 472.5352914487.

Adding to 105512217 its reverse (712215501), we get a palindrome (817727718).

The spelling of 105512217 in words is "one hundred five million, five hundred twelve thousand, two hundred seventeen".