105010563 has 8 divisors (see below), whose sum is σ = 160016128. Its totient is φ = 60006024.

The previous prime is 105010559. The next prime is 105010583. The reversal of 105010563 is 365010501.

It is a happy number.

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

It is not a de Polignac number, because 105010563 - 2² = 105010559 is a prime.

It is a super-2 number, since 2×105010563² = 22054436683153938, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 5000503 = 105010563 / (1 + 0 + 5 + 0 + 1 + 0 + 5 + 6 + 3).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105010523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2500231 + ... + 2500272.

It is an arithmetic number, because the mean of its divisors is an integer number (20002016).

Almost surely, 2^105010563 is an apocalyptic number.

105010563 is a deficient number, since it is larger than the sum of its proper divisors (55005565).

105010563 is an equidigital number, since it uses as much as digits as its factorization.

105010563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000513.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 105010563 is about 10247.4661746209. The cubic root of 105010563 is about 471.7852175017.

The spelling of 105010563 in words is "one hundred five million, ten thousand, five hundred sixty-three".