103576560044049 has 81 divisors (see below), whose sum is σ = 154788140821041. Its totient is φ = 66740008864320.

The previous prime is 103576560044047. The next prime is 103576560044149. The reversal of 103576560044049 is 940440065675301.

It is a happy number.

The square root of 103576560044049 is 10177257.

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

103576560044049 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 76 + 560 + 0 + 4 + 4 + 0 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 988022084049 + 102588537960000 = 993993^2 + 10128600^2 .

It is not a de Polignac number, because 103576560044049 - 2¹ = 103576560044047 is a prime.

It is a super-3 number, since 3×103576560044049³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103576560043986 and 103576560044004.

It is not an unprimeable number, because it can be changed into a prime (103576560044047) 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 80 ways as a sum of consecutive naturals, for example, 312920120814 + ... + 312920121144.

Almost surely, 2^{103576560044049} is an apocalyptic number.

103576560044049 is the 10177257-th square number.

103576560044049 is the 5088629-th centered octagonal number.

It is an amenable number.

103576560044049 is a deficient number, since it is larger than the sum of its proper divisors (51211580776992).

103576560044049 is an frugal number, since it uses more digits than its factorization.

103576560044049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 103576560044049 in words is "one hundred three trillion, five hundred seventy-six billion, five hundred sixty million, forty-four thousand, forty-nine".