105111005000527 has 2 divisors, whose sum is σ = 105111005000528. Its totient is φ = 105111005000526.

The previous prime is 105111005000503. The next prime is 105111005000531. The reversal of 105111005000527 is 725000500111501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105111005000527 - 2⁷ = 105111005000399 is a prime.

It is a super-2 number, since 2×105111005000527² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105111005000495 and 105111005000504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105111005000597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52555502500263 + 52555502500264.

It is an arithmetic number, because the mean of its divisors is an integer number (52555502500264).

Almost surely, 2^{105111005000527} is an apocalyptic number.

105111005000527 is a deficient number, since it is larger than the sum of its proper divisors (1).

105111005000527 is an equidigital number, since it uses as much as digits as its factorization.

105111005000527 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1750, while the sum is 28.

The spelling of 105111005000527 in words is "one hundred five trillion, one hundred eleven billion, five million, five hundred twenty-seven", and thus it is an aban number.