105503713 has 16 divisors (see below), whose sum is σ = 129520000. Its totient is φ = 85666896.

The previous prime is 105503689. The next prime is 105503731. The reversal of 105503713 is 317305501.

It is not a de Polignac number, because 105503713 - 2⁵ = 105503681 is a prime.

It is a super-2 number, since 2×105503713² = 22262066913572738, which contains 22 as substring.

It is the 10272-nd Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105503773) by changing a digit.

It is a nontrivial repunit in base 10271.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1578 + ... + 14611.

It is an arithmetic number, because the mean of its divisors is an integer number (8095000).

Almost surely, 2^105503713 is an apocalyptic number.

It is an amenable number.

105503713 is a deficient number, since it is larger than the sum of its proper divisors (24016287).

105503713 is an equidigital number, since it uses as much as digits as its factorization.

105503713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16229 (or 16215 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 105503713 is about 10271.5000365088. The cubic root of 105503713 is about 472.5225960845.

The spelling of 105503713 in words is "one hundred five million, five hundred three thousand, seven hundred thirteen".