105117106 has 8 divisors (see below), whose sum is σ = 158258304. Its totient is φ = 52364340.

The previous prime is 105117097. The next prime is 105117109. The reversal of 105117106 is 601711501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105117106² = 22099211947630472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105117109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96430 + ... + 97513.

It is an arithmetic number, because the mean of its divisors is an integer number (19782288).

Almost surely, 2^105117106 is an apocalyptic number.

105117106 is a deficient number, since it is larger than the sum of its proper divisors (53141198).

105117106 is a wasteful number, since it uses less digits than its factorization.

105117106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194216.

The product of its (nonzero) digits is 210, while the sum is 22.

The square root of 105117106 is about 10252.6633612930. The cubic root of 105117106 is about 471.9447202568.

Adding to 105117106 its reverse (601711501), we get a palindrome (706828607).

The spelling of 105117106 in words is "one hundred five million, one hundred seventeen thousand, one hundred six".