106523102033 has 2 divisors, whose sum is σ = 106523102034. Its totient is φ = 106523102032.

The previous prime is 106523102029. The next prime is 106523102071. The reversal of 106523102033 is 330201325601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71271913024 + 35251189009 = 266968^2 + 187753^2 .

It is a cyclic number.

It is not a de Polignac number, because 106523102033 - 2² = 106523102029 is a prime.

It is a super-2 number, since 2×106523102033² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106523101993 and 106523102011.

It is not a weakly prime, because it can be changed into another prime (106523102233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53261551016 + 53261551017.

It is an arithmetic number, because the mean of its divisors is an integer number (53261551017).

Almost surely, 2^106523102033 is an apocalyptic number.

It is an amenable number.

106523102033 is a deficient number, since it is larger than the sum of its proper divisors (1).

106523102033 is an equidigital number, since it uses as much as digits as its factorization.

106523102033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 106523102033 its reverse (330201325601), we get a palindrome (436724427634).

The spelling of 106523102033 in words is "one hundred six billion, five hundred twenty-three million, one hundred two thousand, thirty-three".