105117171200603 has 2 divisors, whose sum is σ = 105117171200604. Its totient is φ = 105117171200602.

The previous prime is 105117171200581. The next prime is 105117171200647. The reversal of 105117171200603 is 306002171711501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105117171200603 - 2⁶ = 105117171200539 is a prime.

It is a super-2 number, since 2×105117171200603² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105117171200663) 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, 52558585600301 + 52558585600302.

It is an arithmetic number, because the mean of its divisors is an integer number (52558585600302).

Almost surely, 2^{105117171200603} is an apocalyptic number.

105117171200603 is a deficient number, since it is larger than the sum of its proper divisors (1).

105117171200603 is an equidigital number, since it uses as much as digits as its factorization.

105117171200603 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 35.

The spelling of 105117171200603 in words is "one hundred five trillion, one hundred seventeen billion, one hundred seventy-one million, two hundred thousand, six hundred three".