106711 has 8 divisors (see below), whose sum is σ = 118800. Its totient is φ = 95040.

The previous prime is 106703. The next prime is 106721. The reversal of 106711 is 117601.

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

It is not a de Polignac number, because 106711 - 2³ = 106703 is a prime.

It is a super-2 number, since 2×106711² = 22774475042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106721) 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, 925 + ... + 1033.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2¹⁰⁶⁷¹¹ is an apocalyptic number.

106711 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106711 is a deficient number, since it is larger than the sum of its proper divisors (12089).

106711 is a wasteful number, since it uses less digits than its factorization.

106711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 106711 is about 326.6664965986. Note that the first 3 decimals coincide. The cubic root of 106711 is about 47.4318135222.

The spelling of 106711 in words is "one hundred six thousand, seven hundred eleven".