112104000 has 280 divisors, whose sum is σ = 417121848. Its totient is φ = 29721600.

The previous prime is 112103987. The next prime is 112104011. The reversal of 112104000 is 401211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 112021056 = 288^2 + 10584^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 647914 + ... + 648086.

Almost surely, 2^112104000 is an apocalyptic number.

112104000 is a gapful number since it is divisible by the number (10) 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 112104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208560924).

112104000 is an abundant number, since it is smaller than the sum of its proper divisors (305017848).

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

112104000 is an equidigital number, since it uses as much as digits as its factorization.

112104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 183 counting only the distinct ones).

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

The square root of 112104000 is about 10587.9176422940. The cubic root of 112104000 is about 482.1776059611.

Adding to 112104000 its reverse (401211), we get a palindrome (112505211).

The spelling of 112104000 in words is "one hundred twelve million, one hundred four thousand".