112104 has 40 divisors (see below), whose sum is σ = 315810. Its totient is φ = 37152.

The previous prime is 112103. The next prime is 112111. The reversal of 112104 is 401211.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 39204 = 270^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (112103) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 562 + ... + 734.

2¹¹²¹⁰⁴ 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 112104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157905).

112104 is an abundant number, since it is smaller than the sum of its proper divisors (203706).

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

112104 is a wasteful number, since it uses less digits than its factorization.

112104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112104 is about 334.8193542793. The cubic root of 112104 is about 48.2177605961.

Adding to 112104 its reverse (401211), we get a palindrome (513315).

It can be divided in two parts, 112 and 104, that added together give a cube (216 = 6³).

The spelling of 112104 in words is "one hundred twelve thousand, one hundred four", and thus it is an iban number.