112305006 has 48 divisors (see below), whose sum is σ = 268472880. Its totient is φ = 33644160.

The previous prime is 112305001. The next prime is 112305013. The reversal of 112305006 is 600503211.

It is a super-2 number, since 2×112305006² = 25224828745320072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 112305006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112305001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14436 + ... + 20808.

It is an arithmetic number, because the mean of its divisors is an integer number (5593185).

Almost surely, 2^112305006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112305006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134236440).

112305006 is an abundant number, since it is smaller than the sum of its proper divisors (156167874).

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

112305006 is a wasteful number, since it uses less digits than its factorization.

112305006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6481 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 112305006 is about 10597.4056259067. The cubic root of 112305006 is about 482.4656204307.

Adding to 112305006 its reverse (600503211), we get a palindrome (712808217).

The spelling of 112305006 in words is "one hundred twelve million, three hundred five thousand, six".