105738042329 has 2 divisors, whose sum is σ = 105738042330. Its totient is φ = 105738042328.

The previous prime is 105738042287. The next prime is 105738042343. The reversal of 105738042329 is 923240837501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70524769225 + 35213273104 = 265565^2 + 187652^2 .

It is a cyclic number.

It is not a de Polignac number, because 105738042329 - 2³² = 101443075033 is a prime.

It is a super-2 number, since 2×105738042329² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105738042329.

It is not a weakly prime, because it can be changed into another prime (105738042029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52869021164 + 52869021165.

It is an arithmetic number, because the mean of its divisors is an integer number (52869021165).

Almost surely, 2^105738042329 is an apocalyptic number.

It is an amenable number.

105738042329 is a deficient number, since it is larger than the sum of its proper divisors (1).

105738042329 is an equidigital number, since it uses as much as digits as its factorization.

105738042329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 105738042329 in words is "one hundred five billion, seven hundred thirty-eight million, forty-two thousand, three hundred twenty-nine".