105055020513 has 12 divisors (see below), whose sum is σ = 160672384548. Its totient is φ = 65916875520.

The previous prime is 105055020503. The next prime is 105055020557. The reversal of 105055020513 is 315020550501.

105055020513 is a `hidden beast` number, since 10 + 50 + 550 + 2 + 0 + 51 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91335115089 + 13719905424 = 302217^2 + 117132^2 .

It is not a de Polignac number, because 105055020513 - 2⁵ = 105055020481 is a prime.

It is a super-2 number, since 2×105055020513² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105055020503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343316908 + ... + 343317213.

It is an arithmetic number, because the mean of its divisors is an integer number (13389365379).

Almost surely, 2^105055020513 is an apocalyptic number.

It is an amenable number.

105055020513 is a deficient number, since it is larger than the sum of its proper divisors (55617364035).

105055020513 is a wasteful number, since it uses less digits than its factorization.

105055020513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686634144 (or 686634141 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 105055020513 in words is "one hundred five billion, fifty-five million, twenty thousand, five hundred thirteen".