106320133 has 6 divisors (see below), whose sum is σ = 108095442. Its totient is φ = 104573520.

The previous prime is 106320121. The next prime is 106320139. The reversal of 106320133 is 331023601.

It can be written as a sum of positive squares in 3 ways, for example, as 32239684 + 74080449 = 5678^2 + 8607^2 .

It is not a de Polignac number, because 106320133 - 2⁵ = 106320101 is a prime.

It is a super-2 number, since 2×106320133² = 22607941362275378, 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 106320133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106320139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10566 + ... + 18007.

It is an arithmetic number, because the mean of its divisors is an integer number (18015907).

Almost surely, 2^106320133 is an apocalyptic number.

It is an amenable number.

106320133 is a deficient number, since it is larger than the sum of its proper divisors (1775309).

106320133 is an frugal number, since it uses more digits than its factorization.

106320133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28695 (or 28634 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 106320133 is about 10311.1654530417. The cubic root of 106320133 is about 473.7383070656.

Adding to 106320133 its reverse (331023601), we get a palindrome (437343734).

The spelling of 106320133 in words is "one hundred six million, three hundred twenty thousand, one hundred thirty-three".