106771128741 has 6 divisors (see below), whose sum is σ = 154224963750. Its totient is φ = 71180752488.

The previous prime is 106771128731. The next prime is 106771128743. The reversal of 106771128741 is 147821177601.

It can be written as a sum of positive squares in only one way, i.e., 65167367841 + 41603760900 = 255279^2 + 203970^2 .

It is not a de Polignac number, because 106771128741 - 2⁷ = 106771128613 is a prime.

It is a super-2 number, since 2×106771128741² (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 (106771128743) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5931729366 + ... + 5931729383.

It is an arithmetic number, because the mean of its divisors is an integer number (25704160625).

Almost surely, 2^106771128741 is an apocalyptic number.

It is an amenable number.

106771128741 is a deficient number, since it is larger than the sum of its proper divisors (47453835009).

106771128741 is a wasteful number, since it uses less digits than its factorization.

106771128741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11863458755 (or 11863458752 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 106771128741 in words is "one hundred six billion, seven hundred seventy-one million, one hundred twenty-eight thousand, seven hundred forty-one".