105506655641 has 2 divisors, whose sum is σ = 105506655642. Its totient is φ = 105506655640.

The previous prime is 105506655623. The next prime is 105506655647. The reversal of 105506655641 is 146556605501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84065203600 + 21441452041 = 289940^2 + 146429^2 .

It is an emirp because it is prime and its reverse (146556605501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105506655641 - 2⁶ = 105506655577 is a prime.

It is a super-2 number, since 2×105506655641² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105506655592 and 105506655601.

It is not a weakly prime, because it can be changed into another prime (105506655647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52753327820 + 52753327821.

It is an arithmetic number, because the mean of its divisors is an integer number (52753327821).

Almost surely, 2^105506655641 is an apocalyptic number.

It is an amenable number.

105506655641 is a deficient number, since it is larger than the sum of its proper divisors (1).

105506655641 is an equidigital number, since it uses as much as digits as its factorization.

105506655641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540000, while the sum is 44.

The spelling of 105506655641 in words is "one hundred five billion, five hundred six million, six hundred fifty-five thousand, six hundred forty-one".