116105 has 8 divisors (see below), whose sum is σ = 152064. Its totient is φ = 84400.

The previous prime is 116101. The next prime is 116107. The reversal of 116105 is 501611.

Added to its reverse (501611) it gives a triangular number (617716 = T₁₁₁₁).

116105 = T₂₁₃ + T₂₁₄ + ... + T₂₁₇.

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

It is not a de Polignac number, because 116105 - 2² = 116101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 116105.

It is not an unprimeable number, because it can be changed into a prime (116101) 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, 1001 + ... + 1110.

It is an arithmetic number, because the mean of its divisors is an integer number (19008).

2¹¹⁶¹⁰⁵ is an apocalyptic number.

It is an amenable number.

116105 is a deficient number, since it is larger than the sum of its proper divisors (35959).

116105 is a wasteful number, since it uses less digits than its factorization.

116105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 116105 is about 340.7418377599. The cubic root of 116105 is about 48.7847002561.

Adding to 116105 its reverse (501611), we get a palindrome (617716).

It can be divided in two parts, 11 and 6105, that added together give a palindrome (6116).

The spelling of 116105 in words is "one hundred sixteen thousand, one hundred five".