1104 has 20 divisors (see below), whose sum is σ = 2976. Its totient is φ = 352.

The previous prime is 1103. The next prime is 1109. The reversal of 1104 is 4011.

Adding to 1104 its reverse (4011), we get a palindrome (5115).

It can be divided in two parts, 1 and 104, that added together give a triangular number (105 = T_{14}).

1104 is a repfigit number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a plaindrome in base 9, base 13 and base 14.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 1092 and 1101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37 + ... + 59.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488).

1104 is an abundant number, since it is smaller than the sum of its proper divisors (1872).

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

1104 is a wasteful number, since it uses less digits than its factorization.

With its successor (1105) it forms an eRAP, since the sums of their prime factors are consecutive (34 and 35).

1104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1104 is about 33.2264954517. The cubic root of 1104 is about 10.3352985047.

The spelling of 1104 in words is "one thousand, one hundred four", and thus it is an iban number.

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