111711834 has 48 divisors (see below), whose sum is σ = 262080000. Its totient is φ = 34185888.

The previous prime is 111711833. The next prime is 111711871. The reversal of 111711834 is 438117111.

It is a junction number, because it is equal to n+sod(n) for n = 111711798 and 111711807.

It is not an unprimeable number, because it can be changed into a prime (111711833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45367 + ... + 47765.

It is an arithmetic number, because the mean of its divisors is an integer number (5460000).

Almost surely, 2^111711834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111711834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040000).

111711834 is an abundant number, since it is smaller than the sum of its proper divisors (150368166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111711834 is a wasteful number, since it uses less digits than its factorization.

111711834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2616 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 111711834 is about 10569.3819119190. The cubic root of 111711834 is about 481.6146923854.

Adding to 111711834 its reverse (438117111), we get a palindrome (549828945).

The spelling of 111711834 in words is "one hundred eleven million, seven hundred eleven thousand, eight hundred thirty-four".