18105065127 has 24 divisors (see below), whose sum is σ = 27700335936. Its totient is φ = 11355841536.

The previous prime is 18105065123. The next prime is 18105065137. The reversal of 18105065127 is 72156050181.

18105065127 is a `hidden beast` number, since 1 + 81 + 0 + 506 + 51 + 27 = 666.

It is not a de Polignac number, because 18105065127 - 2² = 18105065123 is a prime.

It is a super-2 number, since 2×18105065127² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18105065091 and 18105065100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18105065123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422818 + ... + 463664.

It is an arithmetic number, because the mean of its divisors is an integer number (1154180664).

Almost surely, 2^18105065127 is an apocalyptic number.

18105065127 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

18105065127 is a deficient number, since it is larger than the sum of its proper divisors (9595270809).

18105065127 is a wasteful number, since it uses less digits than its factorization.

18105065127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43767 (or 43764 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 18105065127 in words is "eighteen billion, one hundred five million, sixty-five thousand, one hundred twenty-seven".