1083104 has 48 divisors (see below), whose sum is σ = 2476656. Its totient is φ = 460800.

The previous prime is 1083083. The next prime is 1083107. The reversal of 1083104 is 4013801.

It is a happy number.

It is a super-2 number, since 2×1083104² = 2346228549632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5894 + ... + 6074.

It is an arithmetic number, because the mean of its divisors is an integer number (51597).

2^1083104 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 1083104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238328).

1083104 is an abundant number, since it is smaller than the sum of its proper divisors (1393552).

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

1083104 is a wasteful number, since it uses less digits than its factorization.

1083104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1083104 is about 1040.7228257322. The cubic root of 1083104 is about 102.6967547353.

Adding to 1083104 its reverse (4013801), we get a palindrome (5096905).

The spelling of 1083104 in words is "one million, eighty-three thousand, one hundred four".