106660 has 12 divisors (see below), whose sum is σ = 224028. Its totient is φ = 42656.

The previous prime is 106657. The next prime is 106661. The reversal of 106660 is 66601.

It is a happy number.

106660 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 23716 = 288^2 + 154^2 .

It is a super-2 number, since 2×106660² = 22752711200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2647 + ... + 2686.

It is an arithmetic number, because the mean of its divisors is an integer number (18669).

2¹⁰⁶⁶⁶⁰ is an apocalyptic number.

106660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106660 is an abundant number, since it is smaller than the sum of its proper divisors (117368).

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

106660 is a wasteful number, since it uses less digits than its factorization.

106660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 106660 is about 326.5884260044. The cubic root of 106660 is about 47.4242560134.

It can be divided in two parts, 10 and 6660, that added together give a triangular number (6670 = T₁₁₅).

The spelling of 106660 in words is "one hundred six thousand, six hundred sixty".