105503563 has 8 divisors (see below), whose sum is σ = 115936560. Its totient is φ = 95210880.

The previous prime is 105503557. The next prime is 105503591. The reversal of 105503563 is 365305501.

It is a happy number.

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 105503563 - 2⁹ = 105503051 is a prime.

It is a super-2 number, since 2×105503563² = 22262003611389938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105503533) 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, 33498 + ... + 36511.

It is an arithmetic number, because the mean of its divisors is an integer number (14492070).

Almost surely, 2^105503563 is an apocalyptic number.

105503563 is a deficient number, since it is larger than the sum of its proper divisors (10432997).

105503563 is a wasteful number, since it uses less digits than its factorization.

105503563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70157.

The product of its (nonzero) digits is 6750, while the sum is 28.

The square root of 105503563 is about 10271.4927347489. The cubic root of 105503563 is about 472.5223721479.

The spelling of 105503563 in words is "one hundred five million, five hundred three thousand, five hundred sixty-three".