105581166749 has 2 divisors, whose sum is σ = 105581166750. Its totient is φ = 105581166748.

The previous prime is 105581166731. The next prime is 105581166791. The reversal of 105581166749 is 947661185501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56278072900 + 49303093849 = 237230^2 + 222043^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105581166749 is a prime.

It is a super-2 number, since 2×105581166749² (a number of 23 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 105581166749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105581166949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52790583374 + 52790583375.

It is an arithmetic number, because the mean of its divisors is an integer number (52790583375).

Almost surely, 2^105581166749 is an apocalyptic number.

It is an amenable number.

105581166749 is a deficient number, since it is larger than the sum of its proper divisors (1).

105581166749 is an equidigital number, since it uses as much as digits as its factorization.

105581166749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1814400, while the sum is 53.

The spelling of 105581166749 in words is "one hundred five billion, five hundred eighty-one million, one hundred sixty-six thousand, seven hundred forty-nine".