112106064 has 80 divisors (see below), whose sum is σ = 334125440. Its totient is φ = 31726080.

The previous prime is 112106063. The next prime is 112106081. The reversal of 112106064 is 460601211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 112106064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112106063) 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 15 ways as a sum of consecutive naturals, for example, 35094 + ... + 38154.

It is an arithmetic number, because the mean of its divisors is an integer number (4176568).

Almost surely, 2^112106064 is an apocalyptic number.

112106064 is a gapful number since it is divisible by the number (14) 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 112106064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167062720).

112106064 is an abundant number, since it is smaller than the sum of its proper divisors (222019376).

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

112106064 is a wasteful number, since it uses less digits than its factorization.

112106064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 112106064 is about 10588.0151114361. The cubic root of 112106064 is about 482.1805651433.

Adding to 112106064 its reverse (460601211), we get a palindrome (572707275).

The spelling of 112106064 in words is "one hundred twelve million, one hundred six thousand, sixty-four".