105103963 has 2 divisors, whose sum is σ = 105103964. Its totient is φ = 105103962.

The previous prime is 105103931. The next prime is 105103987. The reversal of 105103963 is 369301501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105103963 - 2⁵ = 105103931 is a prime.

It is a super-2 number, since 2×105103963² = 22093686076610738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105103903) 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, 52551981 + 52551982.

It is an arithmetic number, because the mean of its divisors is an integer number (52551982).

Almost surely, 2^105103963 is an apocalyptic number.

105103963 is a deficient number, since it is larger than the sum of its proper divisors (1).

105103963 is an equidigital number, since it uses as much as digits as its factorization.

105103963 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 105103963 is about 10252.0223858515. The cubic root of 105103963 is about 471.9250500426.

The spelling of 105103963 in words is "one hundred five million, one hundred three thousand, nine hundred sixty-three".