1103606977729 has 9 divisors (see below), whose sum is σ = 1106589042723. Its totient is φ = 1100632935792.

The previous prime is 1103606977709. The next prime is 1103606977777. The reversal of 1103606977729 is 9277796063011.

The square root of 1103606977729 is 1050527.

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., 22938617025 + 1080668360704 = 151455^2 + 1039552^2 .

It is not a de Polignac number, because 1103606977729 - 2⁷ = 1103606977601 is a prime.

It is a super-2 number, since 2×1103606977729² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1103606977709) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 461180157 + ... + 461182549.

Almost surely, 2^{1103606977729} is an apocalyptic number.

1103606977729 is the 1050527-th square number.

1103606977729 is the 525264-th centered octagonal number.

It is an amenable number.

1103606977729 is a deficient number, since it is larger than the sum of its proper divisors (2982064994).

1103606977729 is an frugal number, since it uses more digits than its factorization.

1103606977729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 58.

The spelling of 1103606977729 in words is "one trillion, one hundred three billion, six hundred six million, nine hundred seventy-seven thousand, seven hundred twenty-nine".