112006600 has 48 divisors (see below), whose sum is σ = 261473220. Its totient is φ = 44620800.

The previous prime is 112006597. The next prime is 112006651. The reversal of 112006600 is 6600211.

It can be written as a sum of positive squares in 6 ways, for example, as 63648484 + 48358116 = 7978^2 + 6954^2 .

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 11 ways as a sum of consecutive naturals, for example, 55204 + ... + 57196.

Almost surely, 2^112006600 is an apocalyptic number.

112006600 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 112006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130736610).

112006600 is an abundant number, since it is smaller than the sum of its proper divisors (149466620).

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

112006600 is a wasteful number, since it uses less digits than its factorization.

112006600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 112006600 is about 10583.3170603549. The cubic root of 112006600 is about 482.0379210651.

Adding to 112006600 its reverse (6600211), we get a palindrome (118606811).

The spelling of 112006600 in words is "one hundred twelve million, six thousand, six hundred".