112017105 has 48 divisors (see below), whose sum is σ = 203973120. Its totient is φ = 56793600.

The previous prime is 112017089. The next prime is 112017109. The reversal of 112017105 is 501710211.

It is a happy number.

It is not a de Polignac number, because 112017105 - 2⁴ = 112017089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112017109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81625 + ... + 82985.

It is an arithmetic number, because the mean of its divisors is an integer number (4249440).

Almost surely, 2^112017105 is an apocalyptic number.

112017105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112017105 is a deficient number, since it is larger than the sum of its proper divisors (91956015).

112017105 is a wasteful number, since it uses less digits than its factorization.

112017105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 112017105 is about 10583.8133486943. The cubic root of 112017105 is about 482.0529905642.

Adding to 112017105 its reverse (501710211), we get a palindrome (613727316).

It can be divided in two parts, 1120 and 17105, that added together give a square (18225 = 135²).

The spelling of 112017105 in words is "one hundred twelve million, seventeen thousand, one hundred five".