1106561161 has 8 divisors (see below), whose sum is σ = 1172171304. Its totient is φ = 1041008640.

The previous prime is 1106561147. The next prime is 1106561171. The reversal of 1106561161 is 1611656011.

It can be written as a sum of positive squares in 4 ways, for example, as 719258761 + 387302400 = 26819^2 + 19680^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1106561161 - 2⁵ = 1106561129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1106561171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28881 + ... + 55201.

It is an arithmetic number, because the mean of its divisors is an integer number (146521413).

Almost surely, 2^1106561161 is an apocalyptic number.

It is an amenable number.

1106561161 is a deficient number, since it is larger than the sum of its proper divisors (65610143).

1106561161 is a wasteful number, since it uses less digits than its factorization.

1106561161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28811.

The product of its (nonzero) digits is 1080, while the sum is 28.

The square root of 1106561161 is about 33265.0140688381. The cubic root of 1106561161 is about 1034.3284591784.

The spelling of 1106561161 in words is "one billion, one hundred six million, five hundred sixty-one thousand, one hundred sixty-one".