105026513827 has 2 divisors, whose sum is σ = 105026513828. Its totient is φ = 105026513826.

The previous prime is 105026513707. The next prime is 105026513833. The reversal of 105026513827 is 728315620501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105026513827 is a prime.

It is a super-2 number, since 2×105026513827² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105026513827.

It is not a weakly prime, because it can be changed into another prime (105026513857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52513256913 + 52513256914.

It is an arithmetic number, because the mean of its divisors is an integer number (52513256914).

Almost surely, 2^105026513827 is an apocalyptic number.

105026513827 is a deficient number, since it is larger than the sum of its proper divisors (1).

105026513827 is an equidigital number, since it uses as much as digits as its factorization.

105026513827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 105026513827 in words is "one hundred five billion, twenty-six million, five hundred thirteen thousand, eight hundred twenty-seven".