105104103313 has 6 divisors (see below), whose sum is σ = 115527650882. Its totient is φ = 95549184720.

The previous prime is 105104103289. The next prime is 105104103331. The reversal of 105104103313 is 313301401501.

It can be written as a sum of positive squares in only one way, i.e., 104680072849 + 424030464 = 323543^2 + 20592^2 .

It is not a de Polignac number, because 105104103313 - 2¹⁷ = 105103972241 is a prime.

It is a super-2 number, since 2×105104103313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105104103343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 434314356 + ... + 434314597.

Almost surely, 2^105104103313 is an apocalyptic number.

It is an amenable number.

105104103313 is a deficient number, since it is larger than the sum of its proper divisors (10423547569).

105104103313 is an equidigital number, since it uses as much as digits as its factorization.

105104103313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868628975 (or 868628964 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 105104103313 its reverse (313301401501), we get a palindrome (418405504814).

The spelling of 105104103313 in words is "one hundred five billion, one hundred four million, one hundred three thousand, three hundred thirteen".