105075979003 has 2 divisors, whose sum is σ = 105075979004. Its totient is φ = 105075979002.

The previous prime is 105075978971. The next prime is 105075979027. The reversal of 105075979003 is 300979570501.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (300979570501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105075979003 - 2⁵ = 105075978971 is a prime.

It is a super-2 number, since 2×105075979003² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105075979093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52537989501 + 52537989502.

It is an arithmetic number, because the mean of its divisors is an integer number (52537989502).

Almost surely, 2^105075979003 is an apocalyptic number.

105075979003 is a deficient number, since it is larger than the sum of its proper divisors (1).

105075979003 is an equidigital number, since it uses as much as digits as its factorization.

105075979003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 297675, while the sum is 46.

The spelling of 105075979003 in words is "one hundred five billion, seventy-five million, nine hundred seventy-nine thousand, three".