4111104 has 72 divisors (see below), whose sum is σ = 11258352. Its totient is φ = 1331200.

The previous prime is 4111097. The next prime is 4111123. The reversal of 4111104 is 4011114.

4111104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 4111104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40654 + ... + 40754.

It is an arithmetic number, because the mean of its divisors is an integer number (156366).

Almost surely, 2^4111104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629176).

4111104 is an abundant number, since it is smaller than the sum of its proper divisors (7147248).

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

4111104 is a wasteful number, since it uses less digits than its factorization.

4111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 4111104 is about 2027.5857565095. The cubic root of 4111104 is about 160.1964254246.

Adding to 4111104 its reverse (4011114), we get a palindrome (8122218).

It can be divided in two parts, 411110 and 4, that added together give a palindrome (411114).

The spelling of 4111104 in words is "four million, one hundred eleven thousand, one hundred four".