115810111 has 16 divisors (see below), whose sum is σ = 125883360. Its totient is φ = 106168320.

The previous prime is 115810081. The next prime is 115810127. The reversal of 115810111 is 111018511.

It is a 18-Lehmer number, since φ(115810111) divides (115810111-1)¹⁸.

It is a cyclic number.

It is not a de Polignac number, because 115810111 - 2²¹ = 113712959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115810181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180351 + ... + 180991.

It is an arithmetic number, because the mean of its divisors is an integer number (7867710).

Almost surely, 2^115810111 is an apocalyptic number.

115810111 is a deficient number, since it is larger than the sum of its proper divisors (10073249).

115810111 is a wasteful number, since it uses less digits than its factorization.

115810111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954.

The product of its (nonzero) digits is 40, while the sum is 19.

The square root of 115810111 is about 10761.5106281600. The cubic root of 115810111 is about 487.4336333937.

Adding to 115810111 its reverse (111018511), we get a palindrome (226828622).

It can be divided in two parts, 115810 and 111, that added together give a triangular number (115921 = T₄₈₁).

The spelling of 115810111 in words is "one hundred fifteen million, eight hundred ten thousand, one hundred eleven".