105565541153 has 2 divisors, whose sum is σ = 105565541154. Its totient is φ = 105565541152.

The previous prime is 105565541149. The next prime is 105565541173. The reversal of 105565541153 is 351145565501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74831243809 + 30734297344 = 273553^2 + 175312^2 .

It is a cyclic number.

It is not a de Polignac number, because 105565541153 - 2² = 105565541149 is a prime.

It is a super-2 number, since 2×105565541153² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105565541153.

It is not a weakly prime, because it can be changed into another prime (105565541143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52782770576 + 52782770577.

It is an arithmetic number, because the mean of its divisors is an integer number (52782770577).

Almost surely, 2^105565541153 is an apocalyptic number.

It is an amenable number.

105565541153 is a deficient number, since it is larger than the sum of its proper divisors (1).

105565541153 is an equidigital number, since it uses as much as digits as its factorization.

105565541153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225000, while the sum is 41.

The spelling of 105565541153 in words is "one hundred five billion, five hundred sixty-five million, five hundred forty-one thousand, one hundred fifty-three".