105414244037 has 2 divisors, whose sum is σ = 105414244038. Its totient is φ = 105414244036.

The previous prime is 105414244027. The next prime is 105414244063. The reversal of 105414244037 is 730442414501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99723955681 + 5690288356 = 315791^2 + 75434^2 .

It is a cyclic number.

It is not a de Polignac number, because 105414244037 - 2²⁴ = 105397466821 is a prime.

It is a super-2 number, since 2×105414244037² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105414243988 and 105414244006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105414244027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52707122018 + 52707122019.

It is an arithmetic number, because the mean of its divisors is an integer number (52707122019).

Almost surely, 2^105414244037 is an apocalyptic number.

It is an amenable number.

105414244037 is a deficient number, since it is larger than the sum of its proper divisors (1).

105414244037 is an equidigital number, since it uses as much as digits as its factorization.

105414244037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 35.

Adding to 105414244037 its reverse (730442414501), we get a palindrome (835856658538).

The spelling of 105414244037 in words is "one hundred five billion, four hundred fourteen million, two hundred forty-four thousand, thirty-seven".