105107763 has 8 divisors (see below), whose sum is σ = 144664576. Its totient is φ = 67811400.

The previous prime is 105107759. The next prime is 105107777. The reversal of 105107763 is 367701501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105107763 - 2² = 105107759 is a prime.

It is a super-2 number, since 2×105107763² = 22095283685728338, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105107763.

It is not an unprimeable number, because it can be changed into a prime (105106763) 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 7 ways as a sum of consecutive naturals, for example, 565003 + ... + 565188.

It is an arithmetic number, because the mean of its divisors is an integer number (18083072).

Almost surely, 2^105107763 is an apocalyptic number.

105107763 is a deficient number, since it is larger than the sum of its proper divisors (39556813).

105107763 is a wasteful number, since it uses less digits than its factorization.

105107763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130225.

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 105107763 is about 10252.2077134635. The cubic root of 105107763 is about 471.9307374069.

The spelling of 105107763 in words is "one hundred five million, one hundred seven thousand, seven hundred sixty-three".