106105055046919 has 2 divisors, whose sum is σ = 106105055046920. Its totient is φ = 106105055046918.

The previous prime is 106105055046839. The next prime is 106105055046931. The reversal of 106105055046919 is 919640550501601.

It is a strong prime.

It is an emirp because it is prime and its reverse (919640550501601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106105055046919 - 2²⁷ = 106104920829191 is a prime.

It is a super-2 number, since 2×106105055046919² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106105055046979) 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, 53052527523459 + 53052527523460.

It is an arithmetic number, because the mean of its divisors is an integer number (53052527523460).

Almost surely, 2^{106105055046919} is an apocalyptic number.

106105055046919 is a deficient number, since it is larger than the sum of its proper divisors (1).

106105055046919 is an equidigital number, since it uses as much as digits as its factorization.

106105055046919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458000, while the sum is 52.

The spelling of 106105055046919 in words is "one hundred six trillion, one hundred five billion, fifty-five million, forty-six thousand, nine hundred nineteen".