105706162337 has 2 divisors, whose sum is σ = 105706162338. Its totient is φ = 105706162336.

The previous prime is 105706162297. The next prime is 105706162379. The reversal of 105706162337 is 733261607501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86760291601 + 18945870736 = 294551^2 + 137644^2 .

It is a cyclic number.

It is not a de Polignac number, because 105706162337 - 2¹⁴ = 105706145953 is a prime.

It is a super-2 number, since 2×105706162337² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105706162294 and 105706162303.

It is not a weakly prime, because it can be changed into another prime (105706192337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52853081168 + 52853081169.

It is an arithmetic number, because the mean of its divisors is an integer number (52853081169).

Almost surely, 2^105706162337 is an apocalyptic number.

It is an amenable number.

105706162337 is a deficient number, since it is larger than the sum of its proper divisors (1).

105706162337 is an equidigital number, since it uses as much as digits as its factorization.

105706162337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 158760, while the sum is 41.

Adding to 105706162337 its reverse (733261607501), we get a palindrome (838967769838).

The spelling of 105706162337 in words is "one hundred five billion, seven hundred six million, one hundred sixty-two thousand, three hundred thirty-seven".