106666 has 16 divisors (see below), whose sum is σ = 192960. Its totient is φ = 43200.

The previous prime is 106663. The next prime is 106669. The reversal of 106666 is 666601.

It is an interprime number because it is at equal distance from previous prime (106663) and next prime (106669).

It is a super-2 number, since 2×106666² = 22755271112, which contains 22 as substring.

106666 is a modest number, since divided by 666 gives 106 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 106666.

It is not an unprimeable number, because it can be changed into a prime (106661) 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 7 ways as a sum of consecutive naturals, for example, 66 + ... + 466.

It is an arithmetic number, because the mean of its divisors is an integer number (12060).

2¹⁰⁶⁶⁶⁶ is an apocalyptic number.

106666 is a deficient number, since it is larger than the sum of its proper divisors (86294).

106666 is a wasteful number, since it uses less digits than its factorization.

106666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 106666 is about 326.5976117488. The cubic root of 106666 is about 47.4251452571.

The spelling of 106666 in words is "one hundred six thousand, six hundred sixty-six".