105000527 has 2 divisors, whose sum is σ = 105000528. Its totient is φ = 105000526.

The previous prime is 105000523. The next prime is 105000541. The reversal of 105000527 is 725000501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105000527 - 2² = 105000523 is a prime.

It is a super-2 number, since 2×105000527² = 22050221340555458, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105000499 and 105000508.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105000523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500263 + 52500264.

It is an arithmetic number, because the mean of its divisors is an integer number (52500264).

Almost surely, 2^105000527 is an apocalyptic number.

105000527 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000527 is an equidigital number, since it uses as much as digits as its factorization.

105000527 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 105000527 is about 10246.9764808943. The cubic root of 105000527 is about 471.7701873080.

The spelling of 105000527 in words is "one hundred five million, five hundred twenty-seven", and thus it is an aban number.