105563456056401 has 160 divisors (see below), whose sum is σ = 169834767379200. Its totient is φ = 58292714995200.

The previous prime is 105563456056361. The next prime is 105563456056439. The reversal of 105563456056401 is 104650654365501.

It is not a de Polignac number, because 105563456056401 - 2²² = 105563451862097 is a prime.

It is a super-2 number, since 2×105563456056401² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105563456056481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9140478775 + ... + 9140490323.

It is an arithmetic number, because the mean of its divisors is an integer number (1061467296120).

Almost surely, 2^{105563456056401} is an apocalyptic number.

It is an amenable number.

105563456056401 is a deficient number, since it is larger than the sum of its proper divisors (64271311322799).

105563456056401 is an equidigital number, since it uses as much as digits as its factorization.

105563456056401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12005 (or 11984 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 51.

The spelling of 105563456056401 in words is "one hundred five trillion, five hundred sixty-three billion, four hundred fifty-six million, fifty-six thousand, four hundred one".