105218083337 has 2 divisors, whose sum is σ = 105218083338. Its totient is φ = 105218083336.

The previous prime is 105218083331. The next prime is 105218083343. The reversal of 105218083337 is 733380812501.

It is a balanced prime because it is at equal distance from previous prime (105218083331) and next prime (105218083343).

It can be written as a sum of positive squares in only one way, i.e., 75504597961 + 29713485376 = 274781^2 + 172376^2 .

It is a cyclic number.

It is not a de Polignac number, because 105218083337 - 2³⁶ = 36498606601 is a prime.

It is a super-2 number, since 2×105218083337² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105218083294 and 105218083303.

It is not a weakly prime, because it can be changed into another prime (105218083331) 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, 52609041668 + 52609041669.

It is an arithmetic number, because the mean of its divisors is an integer number (52609041669).

Almost surely, 2^105218083337 is an apocalyptic number.

It is an amenable number.

105218083337 is a deficient number, since it is larger than the sum of its proper divisors (1).

105218083337 is an equidigital number, since it uses as much as digits as its factorization.

105218083337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 41.

Adding to 105218083337 its reverse (733380812501), we get a palindrome (838598895838).

The spelling of 105218083337 in words is "one hundred five billion, two hundred eighteen million, eighty-three thousand, three hundred thirty-seven".