105060600561101 has 2 divisors, whose sum is σ = 105060600561102. Its totient is φ = 105060600561100.

The previous prime is 105060600561071. The next prime is 105060600561131. The reversal of 105060600561101 is 101165006060501.

It is a balanced prime because it is at equal distance from previous prime (105060600561071) and next prime (105060600561131).

It can be written as a sum of positive squares in only one way, i.e., 103301000964100 + 1759599597001 = 10163710^2 + 1326499^2 .

It is a cyclic number.

It is not a de Polignac number, because 105060600561101 - 2¹⁴ = 105060600544717 is a prime.

It is a super-2 number, since 2×105060600561101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105060600561131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52530300280550 + 52530300280551.

It is an arithmetic number, because the mean of its divisors is an integer number (52530300280551).

Almost surely, 2^{105060600561101} is an apocalyptic number.

It is an amenable number.

105060600561101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105060600561101 is an equidigital number, since it uses as much as digits as its factorization.

105060600561101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 105060600561101 in words is "one hundred five trillion, sixty billion, six hundred million, five hundred sixty-one thousand, one hundred one".