106667584 has 21 divisors (see below), whose sum is σ = 211832571. Its totient is φ = 53292480.

The previous prime is 106667573. The next prime is 106667599. The reversal of 106667584 is 485766601.

It is a happy number.

The square root of 106667584 is 10328.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×106667584² = 22755946952794112, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106667584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 81979 + ... + 83269.

Almost surely, 2^106667584 is an apocalyptic number.

106667584 is the 10328-th square number.

It is an amenable number.

106667584 is a deficient number, since it is larger than the sum of its proper divisors (105164987).

106667584 is an frugal number, since it uses more digits than its factorization.

106667584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The cubic root of 106667584 is about 474.2538001184.

The spelling of 106667584 in words is "one hundred six million, six hundred sixty-seven thousand, five hundred eighty-four".