116105116006541 has 2 divisors, whose sum is σ = 116105116006542. Its totient is φ = 116105116006540.

The previous prime is 116105116006531. The next prime is 116105116006553. The reversal of 116105116006541 is 145600611501611.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82562137949641 + 33542978056900 = 9086371^2 + 5791630^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-116105116006541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 116105116006495 and 116105116006504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (116105116006501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58052558003270 + 58052558003271.

It is an arithmetic number, because the mean of its divisors is an integer number (58052558003271).

Almost surely, 2^{116105116006541} is an apocalyptic number.

It is an amenable number.

116105116006541 is a deficient number, since it is larger than the sum of its proper divisors (1).

116105116006541 is an equidigital number, since it uses as much as digits as its factorization.

116105116006541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 38.

The spelling of 116105116006541 in words is "one hundred sixteen trillion, one hundred five billion, one hundred sixteen million, six thousand, five hundred forty-one".