106218 has 32 divisors (see below), whose sum is σ = 270720. Its totient is φ = 30240.

The previous prime is 106217. The next prime is 106219. The reversal of 106218 is 812601.

It is an interprime number because it is at equal distance from previous prime (106217) and next prime (106219).

It is a super-2 number, since 2×106218² = 22564527048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106218.

It is not an unprimeable number, because it can be changed into a prime (106213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (8460).

2¹⁰⁶²¹⁸ is an apocalyptic number.

106218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135360).

106218 is an abundant number, since it is smaller than the sum of its proper divisors (164502).

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

106218 is a wasteful number, since it uses less digits than its factorization.

106218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106218 is about 325.9110308044. The cubic root of 106218 is about 47.3586564668.

Adding to 106218 its reverse (812601), we get a palindrome (918819).

It can be divided in two parts, 106 and 218, that added together give a square (324 = 18²).

The spelling of 106218 in words is "one hundred six thousand, two hundred eighteen".