112105728 has 216 divisors, whose sum is σ = 386806560. Its totient is φ = 31933440.

The previous prime is 112105717. The next prime is 112105733. The reversal of 112105728 is 827501211.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338523 + ... + 338853.

Almost surely, 2^112105728 is an apocalyptic number.

112105728 is a gapful number since it is divisible by the number (18) 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 112105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193403280).

112105728 is an abundant number, since it is smaller than the sum of its proper divisors (274700832).

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

112105728 is an equidigital number, since it uses as much as digits as its factorization.

112105728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 112105728 is about 10587.9992444276. Note that the first 3 decimals coincide. The cubic root of 112105728 is about 482.1800834185.

Adding to 112105728 its reverse (827501211), we get a palindrome (939606939).

The spelling of 112105728 in words is "one hundred twelve million, one hundred five thousand, seven hundred twenty-eight".