107112 has 16 divisors (see below), whose sum is σ = 267840. Its totient is φ = 35696.

The previous prime is 107101. The next prime is 107119. The reversal of 107112 is 211701.

It is a super-2 number, since 2×107112² = 22945961088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (107119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2208 + ... + 2255.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2¹⁰⁷¹¹² is an apocalyptic number.

107112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107112 is an abundant number, since it is smaller than the sum of its proper divisors (160728).

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

107112 is a wasteful number, since it uses less digits than its factorization.

107112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 107112 is about 327.2796968955. The cubic root of 107112 is about 47.4911525535.

Adding to 107112 its reverse (211701), we get a palindrome (318813).

The spelling of 107112 in words is "one hundred seven thousand, one hundred twelve", and thus it is an iban number.