105117264413 has 4 divisors (see below), whose sum is σ = 120134016480. Its totient is φ = 90100512348.

The previous prime is 105117264379. The next prime is 105117264433. The reversal of 105117264413 is 314462711501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 314462711501 = 337 ⋅933123773.

It is not a de Polignac number, because 105117264413 - 2⁸ = 105117264157 is a prime.

It is a super-2 number, since 2×105117264413² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105117264433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7508376023 + ... + 7508376036.

It is an arithmetic number, because the mean of its divisors is an integer number (30033504120).

Almost surely, 2^105117264413 is an apocalyptic number.

It is an amenable number.

105117264413 is a deficient number, since it is larger than the sum of its proper divisors (15016752067).

105117264413 is an equidigital number, since it uses as much as digits as its factorization.

105117264413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15016752066.

The product of its (nonzero) digits is 20160, while the sum is 35.

Adding to 105117264413 its reverse (314462711501), we get a palindrome (419579975914).

The spelling of 105117264413 in words is "one hundred five billion, one hundred seventeen million, two hundred sixty-four thousand, four hundred thirteen".