105345250033 has 2 divisors, whose sum is σ = 105345250034. Its totient is φ = 105345250032.

The previous prime is 105345249967. The next prime is 105345250057. The reversal of 105345250033 is 330052543501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67603640049 + 37741609984 = 260007^2 + 194272^2 .

It is a cyclic number.

It is not a de Polignac number, because 105345250033 - 2²⁹ = 104808379121 is a prime.

It is a super-2 number, since 2×105345250033² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105345249977 and 105345250004.

It is not a weakly prime, because it can be changed into another prime (105345250133) 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, 52672625016 + 52672625017.

It is an arithmetic number, because the mean of its divisors is an integer number (52672625017).

Almost surely, 2^105345250033 is an apocalyptic number.

It is an amenable number.

105345250033 is a deficient number, since it is larger than the sum of its proper divisors (1).

105345250033 is an equidigital number, since it uses as much as digits as its factorization.

105345250033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27000, while the sum is 31.

Adding to 105345250033 its reverse (330052543501), we get a palindrome (435397793534).

The spelling of 105345250033 in words is "one hundred five billion, three hundred forty-five million, two hundred fifty thousand, thirty-three".