105505642013045 has 8 divisors (see below), whose sum is σ = 126616057284696. Its totient is φ = 84398322364416.

The previous prime is 105505642013033. The next prime is 105505642013047. The reversal of 105505642013045 is 540310246505501.

It can be written as a sum of positive squares in 4 ways, for example, as 585589196644 + 104920052816401 = 765238^2 + 10243049^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105505642013045 - 2²⁰ = 105505640964469 is a prime.

It is a super-2 number, since 2×105505642013045² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105505642012993 and 105505642013011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505642013047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773830772 + ... + 773967101.

It is an arithmetic number, because the mean of its divisors is an integer number (15827007160587).

Almost surely, 2^{105505642013045} is an apocalyptic number.

It is an amenable number.

105505642013045 is a deficient number, since it is larger than the sum of its proper divisors (21110415271651).

105505642013045 is a wasteful number, since it uses less digits than its factorization.

105505642013045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547811511.

The product of its (nonzero) digits is 360000, while the sum is 41.

Adding to 105505642013045 its reverse (540310246505501), we get a palindrome (645815888518546).

The spelling of 105505642013045 in words is "one hundred five trillion, five hundred five billion, six hundred forty-two million, thirteen thousand, forty-five".