105218 has 4 divisors (see below), whose sum is σ = 157830. Its totient is φ = 52608.

The previous prime is 105211. The next prime is 105227. The reversal of 105218 is 812501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in only one way, i.e., 64009 + 41209 = 253^2 + 203^2 .

It is a super-2 number, since 2×105218² = 22141655048, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105196 and 105205.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105218.

It is not an unprimeable number, because it can be changed into a prime (105211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26303 + ... + 26306.

2¹⁰⁵²¹⁸ is an apocalyptic number.

105218 is a deficient number, since it is larger than the sum of its proper divisors (52612).

105218 is an equidigital number, since it uses as much as digits as its factorization.

105218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52611.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 105218 is about 324.3732418064. The cubic root of 105218 is about 47.2095666714.

Adding to 105218 its reverse (812501), we get a palindrome (917719).

It can be divided in two parts, 105 and 218, that added together give a palindrome (323).

The spelling of 105218 in words is "one hundred five thousand, two hundred eighteen".