105316582117 has 4 divisors (see below), whose sum is σ = 105385373056. Its totient is φ = 105247791180.

The previous prime is 105316582109. The next prime is 105316582123. The reversal of 105316582117 is 711285613501.

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: 711285613501 = 114641 ⋅6204461.

It is a cyclic number.

It is not a de Polignac number, because 105316582117 - 2³ = 105316582109 is a prime.

It is a super-2 number, since 2×105316582117² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105316582117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105316582157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34393173 + ... + 34396234.

It is an arithmetic number, because the mean of its divisors is an integer number (26346343264).

Almost surely, 2^105316582117 is an apocalyptic number.

It is an amenable number.

105316582117 is a deficient number, since it is larger than the sum of its proper divisors (68790939).

105316582117 is an equidigital number, since it uses as much as digits as its factorization.

105316582117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68790938.

The product of its (nonzero) digits is 50400, while the sum is 40.

The spelling of 105316582117 in words is "one hundred five billion, three hundred sixteen million, five hundred eighty-two thousand, one hundred seventeen".