106271729749 has 2 divisors, whose sum is σ = 106271729750. Its totient is φ = 106271729748.

The previous prime is 106271729743. The next prime is 106271729777. The reversal of 106271729749 is 947927172601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102027858724 + 4243871025 = 319418^2 + 65145^2 .

It is a cyclic number.

It is not a de Polignac number, because 106271729749 - 2³ = 106271729741 is a prime.

It is a super-2 number, since 2×106271729749² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106271729749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106271729741) 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, 53135864874 + 53135864875.

It is an arithmetic number, because the mean of its divisors is an integer number (53135864875).

Almost surely, 2^106271729749 is an apocalyptic number.

It is an amenable number.

106271729749 is a deficient number, since it is larger than the sum of its proper divisors (1).

106271729749 is an equidigital number, since it uses as much as digits as its factorization.

106271729749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2667168, while the sum is 55.

The spelling of 106271729749 in words is "one hundred six billion, two hundred seventy-one million, seven hundred twenty-nine thousand, seven hundred forty-nine".