105550011661 has 2 divisors, whose sum is σ = 105550011662. Its totient is φ = 105550011660.

The previous prime is 105550011631. The next prime is 105550011701. The reversal of 105550011661 is 166110055501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105254824900 + 295186761 = 324430^2 + 17181^2 .

It is a cyclic number.

It is not a de Polignac number, because 105550011661 - 2²³ = 105541623053 is a prime.

It is a super-2 number, since 2×105550011661² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105550011631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52775005830 + 52775005831.

It is an arithmetic number, because the mean of its divisors is an integer number (52775005831).

Almost surely, 2^105550011661 is an apocalyptic number.

It is an amenable number.

105550011661 is a deficient number, since it is larger than the sum of its proper divisors (1).

105550011661 is an equidigital number, since it uses as much as digits as its factorization.

105550011661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 105550011661 in words is "one hundred five billion, five hundred fifty million, eleven thousand, six hundred sixty-one".