100845460846177 has 2 divisors, whose sum is σ = 100845460846178. Its totient is φ = 100845460846176.

The previous prime is 100845460846127. The next prime is 100845460846183. The reversal of 100845460846177 is 771648064548001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69645684469201 + 31199776376976 = 8345399^2 + 5585676^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100845460846177 is a prime.

It is not a weakly prime, because it can be changed into another prime (100845460846127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50422730423088 + 50422730423089.

It is an arithmetic number, because the mean of its divisors is an integer number (50422730423089).

Almost surely, 2^{100845460846177} is an apocalyptic number.

It is an amenable number.

100845460846177 is a deficient number, since it is larger than the sum of its proper divisors (1).

100845460846177 is an equidigital number, since it uses as much as digits as its factorization.

100845460846177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36126720, while the sum is 61.

The spelling of 100845460846177 in words is "one hundred trillion, eight hundred forty-five billion, four hundred sixty million, eight hundred forty-six thousand, one hundred seventy-seven".