105018 has 16 divisors (see below), whose sum is σ = 219456. Its totient is φ = 33440.

The previous prime is 104999. The next prime is 105019. The reversal of 105018 is 810501.

It is a happy number.

It is a super-2 number, since 2×105018² = 22057560648, 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 zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 104988 and 105006.

It is not an unprimeable number, because it can be changed into a prime (105019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (13716).

2¹⁰⁵⁰¹⁸ is an apocalyptic number.

105018 is an abundant number, since it is smaller than the sum of its proper divisors (114438).

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

105018 is a wasteful number, since it uses less digits than its factorization.

105018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 105018 is about 324.0648083331. The cubic root of 105018 is about 47.1796354743.

Adding to 105018 its reverse (810501), we get a palindrome (915519).

The spelling of 105018 in words is "one hundred five thousand, eighteen".