105117018 has 32 divisors (see below), whose sum is σ = 223606656. Its totient is φ = 32828928.

The previous prime is 105117013. The next prime is 105117059. The reversal of 105117018 is 810711501.

It is a super-2 number, since 2×105117018² = 22099174946424648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105117013) 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, 21555 + ... + 25977.

It is an arithmetic number, because the mean of its divisors is an integer number (6987708).

Almost surely, 2^105117018 is an apocalyptic number.

105117018 is an abundant number, since it is smaller than the sum of its proper divisors (118489638).

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

105117018 is a wasteful number, since it uses less digits than its factorization.

105117018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678.

The product of its (nonzero) digits is 280, while the sum is 24.

The square root of 105117018 is about 10252.6590697243. The cubic root of 105117018 is about 471.9445885588.

Adding to 105117018 its reverse (810711501), we get a palindrome (915828519).

The spelling of 105117018 in words is "one hundred five million, one hundred seventeen thousand, eighteen".