105681563 has 4 divisors (see below), whose sum is σ = 113810928. Its totient is φ = 97552200.

The previous prime is 105681557. The next prime is 105681581. The reversal of 105681563 is 365186501.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105681563 - 2⁴ = 105681547 is a prime.

It is a super-2 number, since 2×105681563² = 22337185516245938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105683563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4064663 + ... + 4064688.

It is an arithmetic number, because the mean of its divisors is an integer number (28452732).

Almost surely, 2^105681563 is an apocalyptic number.

105681563 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105681563 is a deficient number, since it is larger than the sum of its proper divisors (8129365).

105681563 is an equidigital number, since it uses as much as digits as its factorization.

105681563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8129364.

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 105681563 is about 10280.1538412613. The cubic root of 105681563 is about 472.7879610460.

The spelling of 105681563 in words is "one hundred five million, six hundred eighty-one thousand, five hundred sixty-three".