105336350561 has 8 divisors (see below), whose sum is σ = 113476492584. Its totient is φ = 97201543680.

The previous prime is 105336350519. The next prime is 105336350563. The reversal of 105336350561 is 165053633501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61511440225 + 43824910336 = 248015^2 + 209344^2 .

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 105336350561 - 2³⁴ = 88156481377 is a prime.

It is a super-2 number, since 2×105336350561² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105336350563) 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, 1292726 + ... + 1371791.

It is an arithmetic number, because the mean of its divisors is an integer number (14184561573).

Almost surely, 2^105336350561 is an apocalyptic number.

It is an amenable number.

105336350561 is a deficient number, since it is larger than the sum of its proper divisors (8140142023).

105336350561 is a wasteful number, since it uses less digits than its factorization.

105336350561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667571.

The product of its (nonzero) digits is 121500, while the sum is 38.

The spelling of 105336350561 in words is "one hundred five billion, three hundred thirty-six million, three hundred fifty thousand, five hundred sixty-one".