105338627 has 2 divisors, whose sum is σ = 105338628. Its totient is φ = 105338626.

The previous prime is 105338617. The next prime is 105338663. The reversal of 105338627 is 726833501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105338627 - 2²⁰ = 104290051 is a prime.

It is a super-2 number, since 2×105338627² = 22192452676490258, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105338617) 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, 52669313 + 52669314.

It is an arithmetic number, because the mean of its divisors is an integer number (52669314).

Almost surely, 2^105338627 is an apocalyptic number.

105338627 is a deficient number, since it is larger than the sum of its proper divisors (1).

105338627 is an equidigital number, since it uses as much as digits as its factorization.

105338627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 105338627 is about 10263.4607711045. The cubic root of 105338627 is about 472.2760089097.

The spelling of 105338627 in words is "one hundred five million, three hundred thirty-eight thousand, six hundred twenty-seven".