106508 has 6 divisors (see below), whose sum is σ = 186396. Its totient is φ = 53252.

The previous prime is 106501. The next prime is 106531. The reversal of 106508 is 805601.

It is a super-2 number, since 2×106508² = 22687908128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106508.

It is not an unprimeable number, because it can be changed into a prime (106501) by changing a digit.

106508 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13310 + ... + 13317.

It is an arithmetic number, because the mean of its divisors is an integer number (31066).

2¹⁰⁶⁵⁰⁸ is an apocalyptic number.

It is an amenable number.

106508 is a deficient number, since it is larger than the sum of its proper divisors (79888).

106508 is a wasteful number, since it uses less digits than its factorization.

106508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26631 (or 26629 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 106508 is about 326.3556342397. The cubic root of 106508 is about 47.4017173738.

The spelling of 106508 in words is "one hundred six thousand, five hundred eight".