105563145591 has 48 divisors (see below), whose sum is σ = 163908512768. Its totient is φ = 67821494400.

The previous prime is 105563145553. The next prime is 105563145599. The reversal of 105563145591 is 195541365501.

105563145591 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 631 + 4 + 5 + 5 + 9 + 1 = 666.

It is not a de Polignac number, because 105563145591 - 2¹⁷ = 105563014519 is a prime.

It is a super-2 number, since 2×105563145591² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105563145599) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1786380 + ... + 1844526.

Almost surely, 2^105563145591 is an apocalyptic number.

105563145591 is a deficient number, since it is larger than the sum of its proper divisors (58345367177).

105563145591 is an equidigital number, since it uses as much as digits as its factorization.

105563145591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58434 (or 58422 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The spelling of 105563145591 in words is "one hundred five billion, five hundred sixty-three million, one hundred forty-five thousand, five hundred ninety-one".