105685163 has 8 divisors (see below), whose sum is σ = 111390720. Its totient is φ = 99993960.

The previous prime is 105685159. The next prime is 105685199. The reversal of 105685163 is 361586501.

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

It is not a de Polignac number, because 105685163 - 2² = 105685159 is a prime.

It is a super-2 number, since 2×105685163² = 22338707356673138, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105685663) 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, 13718 + ... + 19988.

It is an arithmetic number, because the mean of its divisors is an integer number (13923840).

Almost surely, 2^105685163 is an apocalyptic number.

105685163 is a deficient number, since it is larger than the sum of its proper divisors (5705557).

105685163 is an equidigital number, since it uses as much as digits as its factorization.

105685163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7177.

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 105685163 is about 10280.3289344262. The cubic root of 105685163 is about 472.7933294290.

The spelling of 105685163 in words is "one hundred five million, six hundred eighty-five thousand, one hundred sixty-three".