106666133 has 32 divisors (see below), whose sum is σ = 135905280. Its totient is φ = 81648000.

The previous prime is 106666129. The next prime is 106666141. The reversal of 106666133 is 331666601.

It is not a de Polignac number, because 106666133 - 2² = 106666129 is a prime.

It is a super-2 number, since 2×106666133² = 22755327858347378, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106666133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106666103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168728 + ... + 169358.

It is an arithmetic number, because the mean of its divisors is an integer number (4247040).

Almost surely, 2^106666133 is an apocalyptic number.

It is an amenable number.

106666133 is a deficient number, since it is larger than the sum of its proper divisors (29239147).

106666133 is a wasteful number, since it uses less digits than its factorization.

106666133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729.

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 106666133 is about 10327.9297538277. The cubic root of 106666133 is about 474.2516496826.

The spelling of 106666133 in words is "one hundred six million, six hundred sixty-six thousand, one hundred thirty-three".