105105555111097 has 2 divisors, whose sum is σ = 105105555111098. Its totient is φ = 105105555111096.

The previous prime is 105105555111077. The next prime is 105105555111113. The reversal of 105105555111097 is 790111555501501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89910675551376 + 15194879559721 = 9482124^2 + 3898061^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105105555111097 is a prime.

It is a super-2 number, since 2×105105555111097² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105105555111077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52552777555548 + 52552777555549.

It is an arithmetic number, because the mean of its divisors is an integer number (52552777555549).

Almost surely, 2^{105105555111097} is an apocalyptic number.

It is an amenable number.

105105555111097 is a deficient number, since it is larger than the sum of its proper divisors (1).

105105555111097 is an equidigital number, since it uses as much as digits as its factorization.

105105555111097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196875, while the sum is 46.

The spelling of 105105555111097 in words is "one hundred five trillion, one hundred five billion, five hundred fifty-five million, one hundred eleven thousand, ninety-seven".