10203405552729 has 27 divisors (see below), whose sum is σ = 14796603839199. Its totient is φ = 6775444830240.

The previous prime is 10203405552721. The next prime is 10203405552731. The reversal of 10203405552729 is 92725550430201.

The square root of 10203405552729 is 3194277.

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

10203405552729 is a `hidden beast` number, since 1 + 0 + 20 + 3 + 4 + 0 + 5 + 552 + 72 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1445830690329 + 8757574862400 = 1202427^2 + 2959320^2 .

It is not a de Polignac number, because 10203405552729 - 2³ = 10203405552721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10203405552721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2596945237 + ... + 2596949165.

Almost surely, 2^{10203405552729} is an apocalyptic number.

10203405552729 is the 3194277-th square number.

10203405552729 is the 1597139-th centered octagonal number.

It is an amenable number.

10203405552729 is a deficient number, since it is larger than the sum of its proper divisors (4593198286470).

10203405552729 is an frugal number, since it uses more digits than its factorization.

10203405552729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8406 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 10203405552729 in words is "ten trillion, two hundred three billion, four hundred five million, five hundred fifty-two thousand, seven hundred twenty-nine".