106127131727 has 2 divisors, whose sum is σ = 106127131728. Its totient is φ = 106127131726.

The previous prime is 106127131723. The next prime is 106127131729. The reversal of 106127131727 is 727131721601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106127131727 - 2² = 106127131723 is a prime.

It is a super-2 number, since 2×106127131727² (a number of 23 digits) contains 22 as substring.

Together with 106127131729, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106127131723) 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 as a sum of consecutive naturals, namely, 53063565863 + 53063565864.

It is an arithmetic number, because the mean of its divisors is an integer number (53063565864).

Almost surely, 2^106127131727 is an apocalyptic number.

106127131727 is a deficient number, since it is larger than the sum of its proper divisors (1).

106127131727 is an equidigital number, since it uses as much as digits as its factorization.

106127131727 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24696, while the sum is 38.

The spelling of 106127131727 in words is "one hundred six billion, one hundred twenty-seven million, one hundred thirty-one thousand, seven hundred twenty-seven".