1106155312177 has 2 divisors, whose sum is σ = 1106155312178. Its totient is φ = 1106155312176.

The previous prime is 1106155312169. The next prime is 1106155312201. The reversal of 1106155312177 is 7712135516011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 696697379856 + 409457932321 = 834684^2 + 639889^2 .

It is a cyclic number.

It is not a de Polignac number, because 1106155312177 - 2³ = 1106155312169 is a prime.

It is a super-3 number, since 3×1106155312177³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1106155312117) 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, 553077656088 + 553077656089.

It is an arithmetic number, because the mean of its divisors is an integer number (553077656089).

Almost surely, 2^{1106155312177} is an apocalyptic number.

It is an amenable number.

1106155312177 is a deficient number, since it is larger than the sum of its proper divisors (1).

1106155312177 is an equidigital number, since it uses as much as digits as its factorization.

1106155312177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 40.

The spelling of 1106155312177 in words is "one trillion, one hundred six billion, one hundred fifty-five million, three hundred twelve thousand, one hundred seventy-seven".