105665736127 has 16 divisors (see below), whose sum is σ = 127135183360. Its totient is φ = 85791262752.

The previous prime is 105665736119. The next prime is 105665736131. The reversal of 105665736127 is 721637566501.

It is a cyclic number.

It is not a de Polignac number, because 105665736127 - 2³ = 105665736119 is a prime.

It is a super-2 number, since 2×105665736127² (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 (105665736227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921118 + ... + 1029460.

It is an arithmetic number, because the mean of its divisors is an integer number (7945948960).

Almost surely, 2^105665736127 is an apocalyptic number.

105665736127 is a deficient number, since it is larger than the sum of its proper divisors (21469447233).

105665736127 is a wasteful number, since it uses less digits than its factorization.

105665736127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115702.

The product of its (nonzero) digits is 1587600, while the sum is 49.

The spelling of 105665736127 in words is "one hundred five billion, six hundred sixty-five million, seven hundred thirty-six thousand, one hundred twenty-seven".