105505211210065 has 8 divisors (see below), whose sum is σ = 126606489119208. Its totient is φ = 84404011856640.

The previous prime is 105505211210057. The next prime is 105505211210071. The reversal of 105505211210065 is 560012112505501.

It can be written as a sum of positive squares in 4 ways, for example, as 19345992934464 + 86159218275601 = 4398408^2 + 9282199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105505211210065 - 2³ = 105505211210057 is a prime.

It is a super-2 number, since 2×105505211210065² (a number of 29 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 105505211210065.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16642632 + ... + 22090441.

It is an arithmetic number, because the mean of its divisors is an integer number (15825811139901).

Almost surely, 2^{105505211210065} is an apocalyptic number.

It is an amenable number.

105505211210065 is a deficient number, since it is larger than the sum of its proper divisors (21101277909143).

105505211210065 is an equidigital number, since it uses as much as digits as its factorization.

105505211210065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39277859.

The product of its (nonzero) digits is 15000, while the sum is 34.

Adding to 105505211210065 its reverse (560012112505501), we get a palindrome (665517323715566).

The spelling of 105505211210065 in words is "one hundred five trillion, five hundred five billion, two hundred eleven million, two hundred ten thousand, sixty-five".