1107989917321 has 9 divisors (see below), whose sum is σ = 1288894801671. Its totient is φ = 949699327752.

The previous prime is 1107989917319. The next prime is 1107989917343. The reversal of 1107989917321 is 1237199897011.

The square root of 1107989917321 is 1052611.

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

It can be written as a sum of positive squares in only one way, i.e., 54156271225 + 1053833646096 = 232715^2 + 1026564^2 .

It is not a de Polignac number, because 1107989917321 - 2¹ = 1107989917319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1107989917361) 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, 7293091 + ... + 7443463.

It is an arithmetic number, because the mean of its divisors is an integer number (143210533519).

Almost surely, 2^{1107989917321} is an apocalyptic number.

1107989917321 is the 1052611-st square number.

1107989917321 is the 526306-th centered octagonal number.

It is an amenable number.

1107989917321 is a deficient number, since it is larger than the sum of its proper divisors (180904884350).

1107989917321 is an frugal number, since it uses more digits than its factorization.

1107989917321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300760 (or 150380 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 58.

The spelling of 1107989917321 in words is "one trillion, one hundred seven billion, nine hundred eighty-nine million, nine hundred seventeen thousand, three hundred twenty-one".