105005103 has 16 divisors (see below), whose sum is σ = 160263936. Its totient is φ = 59906880.

The previous prime is 105005099. The next prime is 105005111. The reversal of 105005103 is 301500501.

It is not a de Polignac number, because 105005103 - 2² = 105005099 is a prime.

It is a super-2 number, since 2×105005103² = 22052143312081218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10683 + ... + 18003.

It is an arithmetic number, because the mean of its divisors is an integer number (10016496).

Almost surely, 2^105005103 is an apocalyptic number.

105005103 is a deficient number, since it is larger than the sum of its proper divisors (55258833).

105005103 is an equidigital number, since it uses as much as digits as its factorization.

105005103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8014.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 105005103 is about 10247.1997638379. The cubic root of 105005103 is about 471.7770405721. Note that the first 3 decimals are identical.

Adding to 105005103 its reverse (301500501), we get a palindrome (406505604).

The spelling of 105005103 in words is "one hundred five million, five thousand, one hundred three".