105123763 has 2 divisors, whose sum is σ = 105123764. Its totient is φ = 105123762.

The previous prime is 105123743. The next prime is 105123773. The reversal of 105123763 is 367321501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105123763 - 2²⁵ = 71569331 is a prime.

It is a super-2 number, since 2×105123763² = 22102011094560338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105123703) 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, 52561881 + 52561882.

It is an arithmetic number, because the mean of its divisors is an integer number (52561882).

Almost surely, 2^105123763 is an apocalyptic number.

105123763 is a deficient number, since it is larger than the sum of its proper divisors (1).

105123763 is an equidigital number, since it uses as much as digits as its factorization.

105123763 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 105123763 is about 10252.9880035041. The cubic root of 105123763 is about 471.9546827003.

The spelling of 105123763 in words is "one hundred five million, one hundred twenty-three thousand, seven hundred sixty-three".