• 110 can be written using four 4's:

110 has 8 divisors (see below), whose sum is σ = 216. Its totient is φ = 40.

The previous prime is 109. The next prime is 113. The reversal of 110 is 11.

Added to its reverse (11) it gives a square (121 = 11^{2}).

110 = T_{4} + T_{5} + ... +
T_{8}.

110 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a sliding number, since 110 = 10 + 100 and 1/10 + 1/100 = 0.110.

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

110 is a Gilda number.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a magnanimous number.

It is a plaindrome in base 8, base 14 and base 16.

It is a nialpdrome in base 5, base 10, base 11, base 12, base 13 and base 15.

It is a self number, because there is not a number *n* which added to its sum of digits gives 110.

It is a congruent number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 15.

It is an arithmetic number, because the mean of its divisors is an integer number (27).

110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10×11.

110 is a deficient number, since it is larger than the sum of its proper divisors (106).

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

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

The sum of its prime factors is 18.

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 110 is about 10.4880884817. The cubic root of 110 is about 4.7914198571.

Adding to 110 its reverse (11), we get a palindrome (121).

Subtracting from 110 its reverse (11), we obtain a palindrome (99).

It can be divided in two parts, 1 and 10, that added together give a palindrome (11).

The spelling of 110 in words is "one hundred ten", and thus it is an aban number and an iban number.

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