7106112 has 126 divisors (see below), whose sum is σ = 22357842. Its totient is φ = 2156544.

The previous prime is 7106101. The next prime is 7106117. The reversal of 7106112 is 2116017.

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 7096896 = 96^2 + 2664^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (7106117) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97308 + ... + 97380.

Almost surely, 2^7106112 is an apocalyptic number.

7106112 is a gapful number since it is divisible by the number (72) 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 7106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11178921).

7106112 is an abundant number, since it is smaller than the sum of its proper divisors (15251730).

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

7106112 is a wasteful number, since it uses less digits than its factorization.

7106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 7106112 is about 2665.7291685391. The cubic root of 7106112 is about 192.2548698574.

The spelling of 7106112 in words is "seven million, one hundred six thousand, one hundred twelve".