105005006057503 has 2 divisors, whose sum is σ = 105005006057504. Its totient is φ = 105005006057502.

The previous prime is 105005006057443. The next prime is 105005006057573. The reversal of 105005006057503 is 305750600500501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105005006057503 - 2³⁷ = 104867567104031 is a prime.

It is a super-2 number, since 2×105005006057503² (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 (105005006057573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502503028751 + 52502503028752.

It is an arithmetic number, because the mean of its divisors is an integer number (52502503028752).

Almost surely, 2^{105005006057503} is an apocalyptic number.

105005006057503 is a deficient number, since it is larger than the sum of its proper divisors (1).

105005006057503 is an equidigital number, since it uses as much as digits as its factorization.

105005006057503 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 78750, while the sum is 37.

The spelling of 105005006057503 in words is "one hundred five trillion, five billion, six million, fifty-seven thousand, five hundred three".