112106004 has 96 divisors (see below), whose sum is σ = 287790720. Its totient is φ = 33841152.

The previous prime is 112105963. The next prime is 112106011. The reversal of 112106004 is 400601211.

It is a super-2 number, since 2×112106004² = 25135512265696032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 818224 + ... + 818360.

It is an arithmetic number, because the mean of its divisors is an integer number (2997820).

Almost surely, 2^112106004 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 112106004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143895360).

112106004 is an abundant number, since it is smaller than the sum of its proper divisors (175684716).

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

112106004 is a wasteful number, since it uses less digits than its factorization.

112106004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 112106004 is about 10588.0122780435. The cubic root of 112106004 is about 482.1804791211.

Adding to 112106004 its reverse (400601211), we get a palindrome (512707215).

The spelling of 112106004 in words is "one hundred twelve million, one hundred six thousand, four".