106008946057129 has 2 divisors, whose sum is σ = 106008946057130. Its totient is φ = 106008946057128.

The previous prime is 106008946057123. The next prime is 106008946057211. The reversal of 106008946057129 is 921750649800601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90554769864729 + 15454176192400 = 9516027^2 + 3931180^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106008946057129 is a prime.

It is a super-2 number, since 2×106008946057129² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106008946057123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53004473028564 + 53004473028565.

It is an arithmetic number, because the mean of its divisors is an integer number (53004473028565).

Almost surely, 2^{106008946057129} is an apocalyptic number.

It is an amenable number.

106008946057129 is a deficient number, since it is larger than the sum of its proper divisors (1).

106008946057129 is an equidigital number, since it uses as much as digits as its factorization.

106008946057129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 106008946057129 in words is "one hundred six trillion, eight billion, nine hundred forty-six million, fifty-seven thousand, one hundred twenty-nine".