101711 has 8 divisors (see below), whose sum is σ = 111744. Its totient is φ = 92160.

The previous prime is 101701. The next prime is 101719. The reversal of 101711 is 117101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101711 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101692 and 101701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (13968).

2¹⁰¹⁷¹¹ is an apocalyptic number.

101711 is a deficient number, since it is larger than the sum of its proper divisors (10033).

101711 is a wasteful number, since it uses less digits than its factorization.

101711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241.

The product of its (nonzero) digits is 7, while the sum is 11.

The square root of 101711 is about 318.9216204650. The cubic root of 101711 is about 46.6791179927.

Adding to 101711 its reverse (117101), we get a palindrome (218812).

The spelling of 101711 in words is "one hundred one thousand, seven hundred eleven", and thus it is an iban number.