100540341677617 has 2 divisors, whose sum is σ = 100540341677618. Its totient is φ = 100540341677616.

The previous prime is 100540341677557. The next prime is 100540341677621. The reversal of 100540341677617 is 716776143045001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99804175961616 + 736165716001 = 9990204^2 + 858001^2 .

It is a cyclic number.

It is not a de Polignac number, because 100540341677617 - 2²³ = 100540333289009 is a prime.

It is a super-3 number, since 3×100540341677617³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100540341647617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50270170838808 + 50270170838809.

It is an arithmetic number, because the mean of its divisors is an integer number (50270170838809).

Almost surely, 2^{100540341677617} is an apocalyptic number.

It is an amenable number.

100540341677617 is a deficient number, since it is larger than the sum of its proper divisors (1).

100540341677617 is an equidigital number, since it uses as much as digits as its factorization.

100540341677617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2963520, while the sum is 52.

The spelling of 100540341677617 in words is "one hundred trillion, five hundred forty billion, three hundred forty-one million, six hundred seventy-seven thousand, six hundred seventeen".