105763041 has 24 divisors (see below), whose sum is σ = 158905344. Its totient is φ = 67711680.

The previous prime is 105763033. The next prime is 105763079. The reversal of 105763041 is 140367501.

It is not a de Polignac number, because 105763041 - 2³ = 105763033 is a prime.

It is a super-2 number, since 2×105763041² = 22371641683135362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105762996 and 105763014.

It is not an unprimeable number, because it can be changed into a prime (105763241) 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 in 23 ways as a sum of consecutive naturals, for example, 36840 + ... + 39606.

It is an arithmetic number, because the mean of its divisors is an integer number (6621056).

Almost surely, 2^105763041 is an apocalyptic number.

It is an amenable number.

105763041 is a deficient number, since it is larger than the sum of its proper divisors (53142303).

105763041 is a wasteful number, since it uses less digits than its factorization.

105763041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105763041 is about 10284.1159561724. The cubic root of 105763041 is about 472.9094326342.

The spelling of 105763041 in words is "one hundred five million, seven hundred sixty-three thousand, forty-one".