1106866013929 has 9 divisors (see below), whose sum is σ = 1198573866693. Its totient is φ = 1021709849472.

The previous prime is 1106866013899. The next prime is 1106866013947. The reversal of 1106866013929 is 9293106686011.

The square root of 1106866013929 is 1052077.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 33677755225 + 1073188258704 = 183515^2 + 1035948^2 .

It is not a de Polignac number, because 1106866013929 - 2³³ = 1098276079337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1106866013989) 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 in 8 ways as a sum of consecutive naturals, for example, 13636537 + ... + 13717465.

It is an arithmetic number, because the mean of its divisors is an integer number (133174874077).

Almost surely, 2^{1106866013929} is an apocalyptic number.

1106866013929 is the 1052077-th square number.

1106866013929 is the 526039-th centered octagonal number.

It is an amenable number.

1106866013929 is a deficient number, since it is larger than the sum of its proper divisors (91707852764).

1106866013929 is an frugal number, since it uses more digits than its factorization.

1106866013929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161884 (or 80942 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The spelling of 1106866013929 in words is "one trillion, one hundred six billion, eight hundred sixty-six million, thirteen thousand, nine hundred twenty-nine".