105006055105103 has 2 divisors, whose sum is σ = 105006055105104. Its totient is φ = 105006055105102.

The previous prime is 105006055105087. The next prime is 105006055105151. The reversal of 105006055105103 is 301501550600501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105006055105103 - 2⁴ = 105006055105087 is a prime.

It is a super-2 number, since 2×105006055105103² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105006055105103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105006055135103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52503027552551 + 52503027552552.

It is an arithmetic number, because the mean of its divisors is an integer number (52503027552552).

Almost surely, 2^{105006055105103} is an apocalyptic number.

105006055105103 is a deficient number, since it is larger than the sum of its proper divisors (1).

105006055105103 is an equidigital number, since it uses as much as digits as its factorization.

105006055105103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11250, while the sum is 32.

The spelling of 105006055105103 in words is "one hundred five trillion, six billion, fifty-five million, one hundred five thousand, one hundred three".