36105160681 has 2 divisors, whose sum is σ = 36105160682. Its totient is φ = 36105160680.

The previous prime is 36105160673. The next prime is 36105160687. The reversal of 36105160681 is 18606150163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33461555625 + 2643605056 = 182925^2 + 51416^2 .

It is a cyclic number.

It is not a de Polignac number, because 36105160681 - 2³ = 36105160673 is a prime.

It is a super-2 number, since 2×36105160681² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36105160681.

It is not a weakly prime, because it can be changed into another prime (36105160687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18052580340 + 18052580341.

It is an arithmetic number, because the mean of its divisors is an integer number (18052580341).

Almost surely, 2^36105160681 is an apocalyptic number.

It is an amenable number.

36105160681 is a deficient number, since it is larger than the sum of its proper divisors (1).

36105160681 is an equidigital number, since it uses as much as digits as its factorization.

36105160681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 36105160681 in words is "thirty-six billion, one hundred five million, one hundred sixty thousand, six hundred eighty-one".