102711 has 16 divisors (see below), whose sum is σ = 161024. Its totient is φ = 57024.

The previous prime is 102701. The next prime is 102761. The reversal of 102711 is 117201.

It is not a de Polignac number, because 102711 - 2⁵ = 102679 is a prime.

It is a Duffinian number.

102711 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102711.

It is not an unprimeable number, because it can be changed into a prime (102701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371 + ... + 1443.

It is an arithmetic number, because the mean of its divisors is an integer number (10064).

2¹⁰²⁷¹¹ is an apocalyptic number.

102711 is a deficient number, since it is larger than the sum of its proper divisors (58313).

102711 is an equidigital number, since it uses as much as digits as its factorization.

102711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150.

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

The square root of 102711 is about 320.4855690979. The cubic root of 102711 is about 46.8315989389.

Adding to 102711 its reverse (117201), we get a palindrome (219912).

The spelling of 102711 in words is "one hundred two thousand, seven hundred eleven", and thus it is an iban number.