105340045563 has 32 divisors (see below), whose sum is σ = 162884889600. Its totient is φ = 67156708608.

The previous prime is 105340045561. The next prime is 105340045619. The reversal of 105340045563 is 365540043501.

105340045563 is a `hidden beast` number, since 1 + 0 + 53 + 4 + 0 + 0 + 45 + 563 = 666.

It is not a de Polignac number, because 105340045563 - 2¹ = 105340045561 is a prime.

It is a super-2 number, since 2×105340045563² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105340045561) 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 31 ways as a sum of consecutive naturals, for example, 2787531 + ... + 2825067.

It is an arithmetic number, because the mean of its divisors is an integer number (5090152800).

Almost surely, 2^105340045563 is an apocalyptic number.

105340045563 is a deficient number, since it is larger than the sum of its proper divisors (57544844037).

105340045563 is a wasteful number, since it uses less digits than its factorization.

105340045563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42088 (or 42082 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 105340045563 in words is "one hundred five billion, three hundred forty million, forty-five thousand, five hundred sixty-three".