106127131757 has 2 divisors, whose sum is σ = 106127131758. Its totient is φ = 106127131756.

The previous prime is 106127131729. The next prime is 106127131811. The reversal of 106127131757 is 757131721601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101267787076 + 4859344681 = 318226^2 + 69709^2 .

It is a cyclic number.

It is not a de Polignac number, because 106127131757 - 2¹⁸ = 106126869613 is a prime.

It is a super-2 number, since 2×106127131757² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106127131717) 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, 53063565878 + 53063565879.

It is an arithmetic number, because the mean of its divisors is an integer number (53063565879).

Almost surely, 2^106127131757 is an apocalyptic number.

It is an amenable number.

106127131757 is a deficient number, since it is larger than the sum of its proper divisors (1).

106127131757 is an equidigital number, since it uses as much as digits as its factorization.

106127131757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61740, while the sum is 41.

The spelling of 106127131757 in words is "one hundred six billion, one hundred twenty-seven million, one hundred thirty-one thousand, seven hundred fifty-seven".