106664 has 16 divisors (see below), whose sum is σ = 204000. Its totient is φ = 52272.

The previous prime is 106663. The next prime is 106669. The reversal of 106664 is 466601.

It is a super-2 number, since 2×106664² = 22754417792, 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, 437 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (12750).

2¹⁰⁶⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

106664 is a deficient number, since it is larger than the sum of its proper divisors (97336).

106664 is a wasteful number, since it uses less digits than its factorization.

106664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 106664 is about 326.5945498627. The cubic root of 106664 is about 47.4248488462.

The spelling of 106664 in words is "one hundred six thousand, six hundred sixty-four".