105564518763 has 8 divisors (see below), whose sum is σ = 153548390976. Its totient is φ = 63978496200.

The previous prime is 105564518711. The next prime is 105564518771. The reversal of 105564518763 is 367815465501.

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

It is not a de Polignac number, because 105564518763 - 2²¹ = 105562421611 is a prime.

It is a super-2 number, since 2×105564518763² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (105564510763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1599462373 + ... + 1599462438.

It is an arithmetic number, because the mean of its divisors is an integer number (19193548872).

Almost surely, 2^105564518763 is an apocalyptic number.

105564518763 is a deficient number, since it is larger than the sum of its proper divisors (47983872213).

105564518763 is a wasteful number, since it uses less digits than its factorization.

105564518763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198924825.

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 105564518763 in words is "one hundred five billion, five hundred sixty-four million, five hundred eighteen thousand, seven hundred sixty-three".