100405311614417 has 2 divisors, whose sum is σ = 100405311614418. Its totient is φ = 100405311614416.

The previous prime is 100405311614317. The next prime is 100405311614429. The reversal of 100405311614417 is 714416113504001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89754383306641 + 10650928307776 = 9473879^2 + 3263576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100405311614417 is a prime.

It is not a weakly prime, because it can be changed into another prime (100405311614117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50202655807208 + 50202655807209.

It is an arithmetic number, because the mean of its divisors is an integer number (50202655807209).

Almost surely, 2^{100405311614417} is an apocalyptic number.

It is an amenable number.

100405311614417 is a deficient number, since it is larger than the sum of its proper divisors (1).

100405311614417 is an equidigital number, since it uses as much as digits as its factorization.

100405311614417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 100405311614417 in words is "one hundred trillion, four hundred five billion, three hundred eleven million, six hundred fourteen thousand, four hundred seventeen".