106310033 has 2 divisors, whose sum is σ = 106310034. Its totient is φ = 106310032.

The previous prime is 106310021. The next prime is 106310041. The reversal of 106310033 is 330013601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87011584 + 19298449 = 9328^2 + 4393^2 .

It is a cyclic number.

It is not a de Polignac number, because 106310033 - 2¹⁸ = 106047889 is a prime.

It is a super-2 number, since 2×106310033² = 22603646232922178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106309993 and 106310020.

It is not a weakly prime, because it can be changed into another prime (106310003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53155016 + 53155017.

It is an arithmetic number, because the mean of its divisors is an integer number (53155017).

Almost surely, 2^106310033 is an apocalyptic number.

It is an amenable number.

106310033 is a deficient number, since it is larger than the sum of its proper divisors (1).

106310033 is an equidigital number, since it uses as much as digits as its factorization.

106310033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 106310033 is about 10310.6756810599. The cubic root of 106310033 is about 473.7233054904.

Adding to 106310033 its reverse (330013601), we get a palindrome (436323634).

The spelling of 106310033 in words is "one hundred six million, three hundred ten thousand, thirty-three".