105505405306563 has 16 divisors (see below), whose sum is σ = 142775507490176. Its totient is φ = 69286149757440.

The previous prime is 105505405306523. The next prime is 105505405306579. The reversal of 105505405306563 is 365603504505501.

It is not a de Polignac number, because 105505405306563 - 2²⁸ = 105505136871107 is a prime.

It is a super-2 number, since 2×105505405306563² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105505405306523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10633428 + ... + 18002238.

It is an arithmetic number, because the mean of its divisors is an integer number (8923469218136).

Almost surely, 2^{105505405306563} is an apocalyptic number.

105505405306563 is a deficient number, since it is larger than the sum of its proper divisors (37270102183613).

105505405306563 is an equidigital number, since it uses as much as digits as its factorization.

105505405306563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7440114.

The product of its (nonzero) digits is 4050000, while the sum is 48.

The spelling of 105505405306563 in words is "one hundred five trillion, five hundred five billion, four hundred five million, three hundred six thousand, five hundred sixty-three".