105333174309749 has 2 divisors, whose sum is σ = 105333174309750. Its totient is φ = 105333174309748.

The previous prime is 105333174309647. The next prime is 105333174309793. The reversal of 105333174309749 is 947903471333501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91358900494225 + 13974273815524 = 9558185^2 + 3738218^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105333174309749 is a prime.

It is a super-2 number, since 2×105333174309749² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105333174309049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52666587154874 + 52666587154875.

It is an arithmetic number, because the mean of its divisors is an integer number (52666587154875).

Almost surely, 2^{105333174309749} is an apocalyptic number.

It is an amenable number.

105333174309749 is a deficient number, since it is larger than the sum of its proper divisors (1).

105333174309749 is an equidigital number, since it uses as much as digits as its factorization.

105333174309749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25719120, while the sum is 59.

The spelling of 105333174309749 in words is "one hundred five trillion, three hundred thirty-three billion, one hundred seventy-four million, three hundred nine thousand, seven hundred forty-nine".