106816133 has 2 divisors, whose sum is σ = 106816134. Its totient is φ = 106816132.

The previous prime is 106816123. The next prime is 106816141. The reversal of 106816133 is 331618601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96786244 + 10029889 = 9838^2 + 3167^2 .

It is an emirp because it is prime and its reverse (331618601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106816133 - 2¹⁰ = 106815109 is a prime.

It is a super-2 number, since 2×106816133² = 22819372538147378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106816096 and 106816105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106816123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53408066 + 53408067.

It is an arithmetic number, because the mean of its divisors is an integer number (53408067).

Almost surely, 2^106816133 is an apocalyptic number.

It is an amenable number.

106816133 is a deficient number, since it is larger than the sum of its proper divisors (1).

106816133 is an equidigital number, since it uses as much as digits as its factorization.

106816133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 106816133 is about 10335.1890645503. The cubic root of 106816133 is about 474.4738521302.

The spelling of 106816133 in words is "one hundred six million, eight hundred sixteen thousand, one hundred thirty-three".