106672 has 20 divisors (see below), whose sum is σ = 212040. Its totient is φ = 51968.

The previous prime is 106669. The next prime is 106681. The reversal of 106672 is 276601.

It is a super-2 number, since 2×106672² = 22757831168, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 888 + ... + 1000.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2¹⁰⁶⁶⁷² is an apocalyptic number.

It is an amenable number.

106672 is a deficient number, since it is larger than the sum of its proper divisors (105368).

106672 is a wasteful number, since it uses less digits than its factorization.

106672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 106672 is about 326.6067972348. The cubic root of 106672 is about 47.4260344674.

The spelling of 106672 in words is "one hundred six thousand, six hundred seventy-two".