105104315313 has 8 divisors (see below), whose sum is σ = 155710096800. Its totient is φ = 70069543524.

The previous prime is 105104315291. The next prime is 105104315333. The reversal of 105104315313 is 313513401501.

It is a happy number.

It is not a de Polignac number, because 105104315313 - 2⁶ = 105104315249 is a prime.

It is a super-2 number, since 2×105104315313² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3892752419 = 105104315313 / (1 + 0 + 5 + 1 + 0 + 4 + 3 + 1 + 5 + 3 + 1 + 3).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105104315333) 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, 1946376183 + ... + 1946376236.

It is an arithmetic number, because the mean of its divisors is an integer number (19463762100).

Almost surely, 2^105104315313 is an apocalyptic number.

It is an amenable number.

105104315313 is a deficient number, since it is larger than the sum of its proper divisors (50605781487).

105104315313 is an equidigital number, since it uses as much as digits as its factorization.

105104315313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892752428 (or 3892752422 counting only the distinct ones).

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

Adding to 105104315313 its reverse (313513401501), we get a palindrome (418617716814).

The spelling of 105104315313 in words is "one hundred five billion, one hundred four million, three hundred fifteen thousand, three hundred thirteen".