105008058065 has 4 divisors (see below), whose sum is σ = 126009669684. Its totient is φ = 84006446448.

The previous prime is 105008058061. The next prime is 105008058091. The reversal of 105008058065 is 560850800501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 560850800501 = 1789 ⋅313499609.

It can be written as a sum of positive squares in 2 ways, for example, as 30697843264 + 74310214801 = 175208^2 + 272599^2 .

It is a cyclic number.

It is not a de Polignac number, because 105008058065 - 2² = 105008058061 is a prime.

It is a super-2 number, since 2×105008058065² (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 (105008058061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10500805802 + ... + 10500805811.

It is an arithmetic number, because the mean of its divisors is an integer number (31502417421).

Almost surely, 2^105008058065 is an apocalyptic number.

It is an amenable number.

105008058065 is a deficient number, since it is larger than the sum of its proper divisors (21001611619).

105008058065 is an equidigital number, since it uses as much as digits as its factorization.

105008058065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21001611618.

The product of its (nonzero) digits is 48000, while the sum is 38.

Adding to 105008058065 its reverse (560850800501), we get a palindrome (665858858566).

The spelling of 105008058065 in words is "one hundred five billion, eight million, fifty-eight thousand, sixty-five".