111082104 has 128 divisors (see below), whose sum is σ = 357388800. Its totient is φ = 31702752.

The previous prime is 111082091. The next prime is 111082109. The reversal of 111082104 is 401280111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111082109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122019 + ... + 122925.

It is an arithmetic number, because the mean of its divisors is an integer number (2792100).

Almost surely, 2^111082104 is an apocalyptic number.

111082104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111082104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178694400).

111082104 is an abundant number, since it is smaller than the sum of its proper divisors (246306696).

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

111082104 is an frugal number, since it uses more digits than its factorization.

111082104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 111082104 is about 10539.5495159898. The cubic root of 111082104 is about 480.7080176345.

The spelling of 111082104 in words is "one hundred eleven million, eighty-two thousand, one hundred four".