106705 has 4 divisors (see below), whose sum is σ = 128052. Its totient is φ = 85360.

The previous prime is 106703. The next prime is 106721. The reversal of 106705 is 507601.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 507601 = 97 ⋅5233.

It can be written as a sum of positive squares in 2 ways, for example, as 82369 + 24336 = 287^2 + 156^2 .

It is not a de Polignac number, because 106705 - 2¹ = 106703 is a prime.

It is a super-2 number, since 2×106705² = 22771914050, which contains 22 as substring.

It is a Duffinian number.

106705 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (106703) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10666 + ... + 10675.

It is an arithmetic number, because the mean of its divisors is an integer number (32013).

2¹⁰⁶⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

106705 is a deficient number, since it is larger than the sum of its proper divisors (21347).

106705 is an equidigital number, since it uses as much as digits as its factorization.

106705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21346.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 106705 is about 326.6573127912. The cubic root of 106705 is about 47.4309245285.

The spelling of 106705 in words is "one hundred six thousand, seven hundred five".