10729023561 has 45 divisors (see below), whose sum is σ = 17050733029. Its totient is φ = 6721992576.

The previous prime is 10729023553. The next prime is 10729023577. The reversal of 10729023561 is 16532092701.

The square root of 10729023561 is 103581.

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

10729023561 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 90 + 2 + 3 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7635439161 + 3093584400 = 87381^2 + 55620^2 .

It is not a de Polignac number, because 10729023561 - 2³ = 10729023553 is a prime.

It is a super-2 number, since 2×10729023561² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10729023511) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15847555 + ... + 15848231.

Almost surely, 2^10729023561 is an apocalyptic number.

10729023561 is the 103581-st square number.

10729023561 is the 51791-st centered octagonal number.

It is an amenable number.

10729023561 is a deficient number, since it is larger than the sum of its proper divisors (6321709468).

10729023561 is an frugal number, since it uses more digits than its factorization.

10729023561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 10729023561 by its sum of digits (36), we get a square (386244848196 = 621486²).

The spelling of 10729023561 in words is "ten billion, seven hundred twenty-nine million, twenty-three thousand, five hundred sixty-one".