106106 has 32 divisors (see below), whose sum is σ = 217728. Its totient is φ = 37440.

The previous prime is 106103. The next prime is 106109. The reversal of 106106 is 601601.

It is an interprime number because it is at equal distance from previous prime (106103) and next prime (106109).

It is a super-2 number, since 2×106106² = 22516966472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (106103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1976 + ... + 2028.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2¹⁰⁶¹⁰⁶ is an apocalyptic number.

106106 is an abundant number, since it is smaller than the sum of its proper divisors (111622).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106106 is a wasteful number, since it uses less digits than its factorization.

106106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 106106 is about 325.7391594512. The cubic root of 106106 is about 47.3420050677.

Adding to 106106 its reverse (601601), we get a palindrome (707707).

It can be divided in two parts, 106 and 106, that added together give a palindrome (212).

The spelling of 106106 in words is "one hundred six thousand, one hundred six".