107072166181 has 2 divisors, whose sum is σ = 107072166182. Its totient is φ = 107072166180.

The previous prime is 107072166167. The next prime is 107072166251. The reversal of 107072166181 is 181661270701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92943277956 + 14128888225 = 304866^2 + 118865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-107072166181 is a prime.

It is a super-2 number, since 2×107072166181² (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 (107072166161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53536083090 + 53536083091.

It is an arithmetic number, because the mean of its divisors is an integer number (53536083091).

Almost surely, 2^107072166181 is an apocalyptic number.

It is an amenable number.

107072166181 is a deficient number, since it is larger than the sum of its proper divisors (1).

107072166181 is an equidigital number, since it uses as much as digits as its factorization.

107072166181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 40.

The spelling of 107072166181 in words is "one hundred seven billion, seventy-two million, one hundred sixty-six thousand, one hundred eighty-one".