105610563 has 12 divisors (see below), whose sum is σ = 152767888. Its totient is φ = 70305840.

The previous prime is 105610553. The next prime is 105610567. The reversal of 105610563 is 365016501.

It is a happy number.

It is not a de Polignac number, because 105610563 - 2⁶ = 105610499 is a prime.

It is a super-2 number, since 2×105610563² = 22307182034353938, which contains 22 as substring.

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 (105610567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1528 + ... + 14613.

Almost surely, 2^105610563 is an apocalyptic number.

105610563 is a deficient number, since it is larger than the sum of its proper divisors (47157325).

105610563 is a wasteful number, since it uses less digits than its factorization.

105610563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16874 (or 16871 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 105610563 is about 10276.7000053519. The cubic root of 105610563 is about 472.6820596809.

The spelling of 105610563 in words is "one hundred five million, six hundred ten thousand, five hundred sixty-three".