• For all the even numbers up to 116, the distance between and each one of its surrounding primes is either 1 or a prime. The rule is broken at 118, since its neighboring primes are 113 and 127 and 127-118 = 9 is neither 1 nor a prime.

• 116 can be written using four 4's:

116 has 6 divisors (see below), whose sum is σ = 210. Its totient is φ = 56.

The previous prime is 113. The next prime is 127. The reversal of 116 is 611.

116 = T_{3} + T_{4} + ... +
T_{8}.

116 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 100 + 16 = 10^2 + 4^2 .

It is a magnanimous number.

It is a O'Halloran number.

It is a plaindrome in base 7, base 9, base 10, base 13 and base 15.

It is a nialpdrome in base 5, base 11, base 12, base 14 and base 16.

It is a congruent number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11 + ... + 18.

It is an arithmetic number, because the mean of its divisors is an integer number (35).

It is an amenable number.

116 is a deficient number, since it is larger than the sum of its proper divisors (94).

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

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

The sum of its prime factors is 33 (or 31 counting only the distinct ones).

The product of its digits is 6, while the sum is 8.

The square root of 116 is about 10.7703296143. The cubic root of 116 is about 4.8769989611.

Adding to 116 its reverse (611), we get a palindrome (727).

Multiplying 116 by its reverse (611), we get a triangular number (70876 = T_{376}).

It can be divided in two parts, 11 and 6, that multiplied together give a palindrome (66).

The spelling of 116 in words is "one hundred sixteen", and thus it is an aban number.

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