112660900 has 144 divisors (see below), whose sum is σ = 286731648. Its totient is φ = 38016000.

The previous prime is 112660843. The next prime is 112660909. The reversal of 112660900 is 9066211.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (112660909) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1543264 + ... + 1543336.

It is an arithmetic number, because the mean of its divisors is an integer number (1991192).

Almost surely, 2^112660900 is an apocalyptic number.

112660900 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 112660900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143365824).

112660900 is an abundant number, since it is smaller than the sum of its proper divisors (174070748).

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

112660900 is a wasteful number, since it uses less digits than its factorization.

112660900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 112660900 is about 10614.1839064527. The cubic root of 112660900 is about 482.9747267331.

It can be divided in two parts, 1126 and 60900, that added together give a palindrome (62026).

The spelling of 112660900 in words is "one hundred twelve million, six hundred sixty thousand, nine hundred".