105122527 has 2 divisors, whose sum is σ = 105122528. Its totient is φ = 105122526.

The previous prime is 105122467. The next prime is 105122557. The reversal of 105122527 is 725221501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105122527 - 2¹⁹ = 104598239 is a prime.

It is a super-2 number, since 2×105122527² = 22101491365731458, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105122557) 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, 52561263 + 52561264.

It is an arithmetic number, because the mean of its divisors is an integer number (52561264).

Almost surely, 2^105122527 is an apocalyptic number.

105122527 is a deficient number, since it is larger than the sum of its proper divisors (1).

105122527 is an equidigital number, since it uses as much as digits as its factorization.

105122527 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 105122527 is about 10252.9277282150. The cubic root of 105122527 is about 471.9528330130.

The spelling of 105122527 in words is "one hundred five million, one hundred twenty-two thousand, five hundred twenty-seven".