107671010700401 has 2 divisors, whose sum is σ = 107671010700402. Its totient is φ = 107671010700400.

The previous prime is 107671010700389. The next prime is 107671010700443. The reversal of 107671010700401 is 104007010176701.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77778711962176 + 29892298738225 = 8819224^2 + 5467385^2 .

It is a cyclic number.

It is not a de Polignac number, because 107671010700401 - 2¹⁰ = 107671010699377 is a prime.

It is not a weakly prime, because it can be changed into another prime (107671010700101) 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, 53835505350200 + 53835505350201.

It is an arithmetic number, because the mean of its divisors is an integer number (53835505350201).

Almost surely, 2^{107671010700401} is an apocalyptic number.

It is an amenable number.

107671010700401 is a deficient number, since it is larger than the sum of its proper divisors (1).

107671010700401 is an equidigital number, since it uses as much as digits as its factorization.

107671010700401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8232, while the sum is 35.

The spelling of 107671010700401 in words is "one hundred seven trillion, six hundred seventy-one billion, ten million, seven hundred thousand, four hundred one".