102706 has 8 divisors (see below), whose sum is σ = 156060. Its totient is φ = 50688.

The previous prime is 102701. The next prime is 102761. The reversal of 102706 is 607201.

It can be written as a sum of positive squares in 2 ways, for example, as 99225 + 3481 = 315^2 + 59^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 102706.

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

102706 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 111 + ... + 466.

2¹⁰²⁷⁰⁶ is an apocalyptic number.

102706 is a deficient number, since it is larger than the sum of its proper divisors (53354).

102706 is an equidigital number, since it uses as much as digits as its factorization.

102706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 102706 is about 320.4777683397. The cubic root of 102706 is about 46.8308390015.

Adding to 102706 its reverse (607201), we get a palindrome (709907).

It can be divided in two parts, 102 and 706, that added together give a palindrome (808).

The spelling of 102706 in words is "one hundred two thousand, seven hundred six".