106040485468817 has 2 divisors, whose sum is σ = 106040485468818. Its totient is φ = 106040485468816.

The previous prime is 106040485468739. The next prime is 106040485468831. The reversal of 106040485468817 is 718864584040601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100761524304016 + 5278961164801 = 10038004^2 + 2297599^2 .

It is a cyclic number.

It is not a de Polignac number, because 106040485468817 - 2¹² = 106040485464721 is a prime.

It is a super-2 number, since 2×106040485468817² (a number of 29 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 106040485468817.

It is not a weakly prime, because it can be changed into another prime (106040485468117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53020242734408 + 53020242734409.

It is an arithmetic number, because the mean of its divisors is an integer number (53020242734409).

Almost surely, 2^{106040485468817} is an apocalyptic number.

It is an amenable number.

106040485468817 is a deficient number, since it is larger than the sum of its proper divisors (1).

106040485468817 is an equidigital number, since it uses as much as digits as its factorization.

106040485468817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41287680, while the sum is 62.

The spelling of 106040485468817 in words is "one hundred six trillion, forty billion, four hundred eighty-five million, four hundred sixty-eight thousand, eight hundred seventeen".