71100 has 54 divisors (see below), whose sum is σ = 225680. Its totient is φ = 18720.

The previous prime is 71089. The next prime is 71119. The reversal of 71100 is 117.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

71100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 861 + ... + 939.

2⁷¹¹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112840).

71100 is an abundant number, since it is smaller than the sum of its proper divisors (154580).

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

71100 is a wasteful number, since it uses less digits than its factorization.

71100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 71100 is about 266.6458325195. The cubic root of 71100 is about 41.4276088333.

Adding to 71100 its reverse (117), we get a palindrome (71217).

It can be divided in two parts, 71 and 100, that added together give a palindrome (171).

The spelling of 71100 in words is "seventy-one thousand, one hundred", and thus it is an iban number.