105605563 has 8 divisors (see below), whose sum is σ = 120758528. Its totient is φ = 90469224.

The previous prime is 105605551. The next prime is 105605567. The reversal of 105605563 is 365506501.

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

It is a cyclic number.

It is not a de Polignac number, because 105605563 - 2⁹ = 105605051 is a prime.

It is a super-3 number, since 3×105605563³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105605567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15970 + ... + 21592.

It is an arithmetic number, because the mean of its divisors is an integer number (15094816).

Almost surely, 2^105605563 is an apocalyptic number.

105605563 is a deficient number, since it is larger than the sum of its proper divisors (15152965).

105605563 is an equidigital number, since it uses as much as digits as its factorization.

105605563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313.

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 105605563 is about 10276.4567337191. The cubic root of 105605563 is about 472.6746000496.

The spelling of 105605563 in words is "one hundred five million, six hundred five thousand, five hundred sixty-three".