110105 has 12 divisors (see below), whose sum is σ = 141732. Its totient is φ = 82080.

The previous prime is 110083. The next prime is 110119. The reversal of 110105 is 501011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17689 + 92416 = 133^2 + 304^2 .

It is not a de Polignac number, because 110105 - 2⁸ = 109849 is a prime.

It is a super-2 number, since 2×110105² = 24246222050, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110092 and 110101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1775 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (11811).

2¹¹⁰¹⁰⁵ is an apocalyptic number.

It is an amenable number.

110105 is a deficient number, since it is larger than the sum of its proper divisors (31627).

110105 is an equidigital number, since it uses as much as digits as its factorization.

110105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 110105 is about 331.8207347349. The cubic root of 110105 is about 47.9294391492.

Adding to 110105 its reverse (501011), we get a palindrome (611116).

The spelling of 110105 in words is "one hundred ten thousand, one hundred five".