105118218 has 12 divisors (see below), whose sum is σ = 227756178. Its totient is φ = 35039400.

The previous prime is 105118213. The next prime is 105118249. The reversal of 105118218 is 812811501.

It can be written as a sum of positive squares in only one way, i.e., 103367889 + 1750329 = 10167^2 + 1323^2 .

It is a super-2 number, since 2×105118218² = 22099679510991048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105118191 and 105118200.

It is not an unprimeable number, because it can be changed into a prime (105118213) 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 5 ways as a sum of consecutive naturals, for example, 2919933 + ... + 2919968.

Almost surely, 2^105118218 is an apocalyptic number.

105118218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105118218 is an abundant number, since it is smaller than the sum of its proper divisors (122637960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105118218 is a wasteful number, since it uses less digits than its factorization.

105118218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839909 (or 5839906 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The square root of 105118218 is about 10252.7175909609. The cubic root of 105118218 is about 471.9463844347.

Adding to 105118218 its reverse (812811501), we get a palindrome (917929719).

The spelling of 105118218 in words is "one hundred five million, one hundred eighteen thousand, two hundred eighteen".