71106 has 16 divisors (see below), whose sum is σ = 162624. Its totient is φ = 20304.

The previous prime is 71089. The next prime is 71119. The reversal of 71106 is 60117.

It is an unprimeable number.

71106 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 805 + ... + 888.

It is an arithmetic number, because the mean of its divisors is an integer number (10164).

2⁷¹¹⁰⁶ is an apocalyptic number.

71106 is an abundant number, since it is smaller than the sum of its proper divisors (91518).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81312).

71106 is a wasteful number, since it uses less digits than its factorization.

71106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 71106 is about 266.6570831611. The cubic root of 71106 is about 41.4287741341.

The spelling of 71106 in words is "seventy-one thousand, one hundred six".