105273711693 has 12 divisors (see below), whose sum is σ = 157693955328. Its totient is φ = 70182474300.

The previous prime is 105273711689. The next prime is 105273711701. The reversal of 105273711693 is 396117372501.

105273711693 is a `hidden beast` number, since 1 + 0 + 527 + 3 + 7 + 116 + 9 + 3 = 666.

It is not a de Polignac number, because 105273711693 - 2² = 105273711689 is a prime.

It is a super-2 number, since 2×105273711693² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105273712693) 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 11 ways as a sum of consecutive naturals, for example, 216612333 + ... + 216612818.

It is an arithmetic number, because the mean of its divisors is an integer number (13141162944).

Almost surely, 2^105273711693 is an apocalyptic number.

It is an amenable number.

105273711693 is a deficient number, since it is larger than the sum of its proper divisors (52420243635).

105273711693 is an frugal number, since it uses more digits than its factorization.

105273711693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433225166 (or 433225154 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 105273711693 in words is "one hundred five billion, two hundred seventy-three million, seven hundred eleven thousand, six hundred ninety-three".