105122863 has 2 divisors, whose sum is σ = 105122864. Its totient is φ = 105122862.

The previous prime is 105122827. The next prime is 105122873. The reversal of 105122863 is 368221501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105122863 - 2¹⁷ = 104991791 is a prime.

It is a super-2 number, since 2×105122863² = 22101632650633538, which contains 22 as substring.

It is equal to p_6039343 and since 105122863 and 6039343 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105122803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52561431 + 52561432.

It is an arithmetic number, because the mean of its divisors is an integer number (52561432).

Almost surely, 2^105122863 is an apocalyptic number.

105122863 is a deficient number, since it is larger than the sum of its proper divisors (1).

105122863 is an equidigital number, since it uses as much as digits as its factorization.

105122863 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 105122863 is about 10252.9441137656. The cubic root of 105122863 is about 471.9533358420.

The spelling of 105122863 in words is "one hundred five million, one hundred twenty-two thousand, eight hundred sixty-three".