105135312347 has 16 divisors (see below), whose sum is σ = 113982590400. Its totient is φ = 96397022592.

The previous prime is 105135312319. The next prime is 105135312419. The reversal of 105135312347 is 743213531501.

It is not a de Polignac number, because 105135312347 - 2¹⁴ = 105135295963 is a prime.

It is a super-2 number, since 2×105135312347² (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 (105135312547) 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, 7612154 + ... + 7625952.

It is an arithmetic number, because the mean of its divisors is an integer number (7123911900).

Almost surely, 2^105135312347 is an apocalyptic number.

105135312347 is a deficient number, since it is larger than the sum of its proper divisors (8847278053).

105135312347 is a wasteful number, since it uses less digits than its factorization.

105135312347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17702.

The product of its (nonzero) digits is 37800, while the sum is 35.

Adding to 105135312347 its reverse (743213531501), we get a palindrome (848348843848).

The spelling of 105135312347 in words is "one hundred five billion, one hundred thirty-five million, three hundred twelve thousand, three hundred forty-seven".