105648516437 has 2 divisors, whose sum is σ = 105648516438. Its totient is φ = 105648516436.

The previous prime is 105648516377. The next prime is 105648516469. The reversal of 105648516437 is 734615846501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61961664241 + 43686852196 = 248921^2 + 209014^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105648516437 is a prime.

It is a super-2 number, since 2×105648516437² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105648516637) 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, 52824258218 + 52824258219.

It is an arithmetic number, because the mean of its divisors is an integer number (52824258219).

Almost surely, 2^105648516437 is an apocalyptic number.

It is an amenable number.

105648516437 is a deficient number, since it is larger than the sum of its proper divisors (1).

105648516437 is an equidigital number, since it uses as much as digits as its factorization.

105648516437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 105648516437 in words is "one hundred five billion, six hundred forty-eight million, five hundred sixteen thousand, four hundred thirty-seven".