105457763 has 2 divisors, whose sum is σ = 105457764. Its totient is φ = 105457762.

The previous prime is 105457741. The next prime is 105457789. The reversal of 105457763 is 367754501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105457763 is a prime.

It is a super-2 number, since 2×105457763² = 22242679553928338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105457663) 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, 52728881 + 52728882.

It is an arithmetic number, because the mean of its divisors is an integer number (52728882).

Almost surely, 2^105457763 is an apocalyptic number.

105457763 is a deficient number, since it is larger than the sum of its proper divisors (1).

105457763 is an equidigital number, since it uses as much as digits as its factorization.

105457763 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 105457763 is about 10269.2630212689. The cubic root of 105457763 is about 472.4539869156.

The spelling of 105457763 in words is "one hundred five million, four hundred fifty-seven thousand, seven hundred sixty-three".