110005 has 12 divisors (see below), whose sum is σ = 153900. Its totient is φ = 75264.

The previous prime is 109987. The next prime is 110017. The reversal of 110005 is 500011.

110005 = T₄₁ + T₄₂ + ... + T₈₉.

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 56644 = 231^2 + 238^2 .

It is not a de Polignac number, because 110005 - 2¹⁵ = 77237 is a prime.

It is a super-2 number, since 2×110005² = 24202200050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a self number, because there is not a number n which added to its sum of digits gives 110005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (12825).

2¹¹⁰⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

110005 is a deficient number, since it is larger than the sum of its proper divisors (43895).

110005 is an equidigital number, since it uses as much as digits as its factorization.

110005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 110005 is about 331.6700167335. The cubic root of 110005 is about 47.9149245323.

Adding to 110005 its reverse (500011), we get a palindrome (610016).

The spelling of 110005 in words is "one hundred ten thousand, five".