105055600513 has 4 divisors (see below), whose sum is σ = 105056255700. Its totient is φ = 105054945328.

The previous prime is 105055600511. The next prime is 105055600523. The reversal of 105055600513 is 315006550501.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 315006550501 = 62401 ⋅5048101.

It can be written as a sum of positive squares in 2 ways, for example, as 76215749184 + 28839851329 = 276072^2 + 169823^2 .

It is a cyclic number.

It is not a de Polignac number, because 105055600513 - 2¹ = 105055600511 is a prime.

It is a super-2 number, since 2×105055600513² (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 (105055600511) 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, 92463 + ... + 467611.

It is an arithmetic number, because the mean of its divisors is an integer number (26264063925).

Almost surely, 2^105055600513 is an apocalyptic number.

It is an amenable number.

105055600513 is a deficient number, since it is larger than the sum of its proper divisors (655187).

105055600513 is an equidigital number, since it uses as much as digits as its factorization.

105055600513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655186.

The product of its (nonzero) digits is 11250, while the sum is 31.

The spelling of 105055600513 in words is "one hundred five billion, fifty-five million, six hundred thousand, five hundred thirteen".