105365601603 has 32 divisors (see below), whose sum is σ = 161690760000. Its totient is φ = 67732955136.

The previous prime is 105365601587. The next prime is 105365601611. The reversal of 105365601603 is 306106563501.

105365601603 is a `hidden beast` number, since 1 + 0 + 5 + 36 + 560 + 1 + 60 + 3 = 666.

It is not a de Polignac number, because 105365601603 - 2⁴ = 105365601587 is a prime.

It is a super-2 number, since 2×105365601603² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105365601623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514633 + ... + 689621.

It is an arithmetic number, because the mean of its divisors is an integer number (5052836250).

Almost surely, 2^105365601603 is an apocalyptic number.

105365601603 is a deficient number, since it is larger than the sum of its proper divisors (56325158397).

105365601603 is a wasteful number, since it uses less digits than its factorization.

105365601603 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175796 (or 175790 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 105365601603 in words is "one hundred five billion, three hundred sixty-five million, six hundred one thousand, six hundred three".