10096029441 has 9 divisors (see below), whose sum is σ = 14583589059. Its totient is φ = 6730485336.

The previous prime is 10096029337. The next prime is 10096029451. The reversal of 10096029441 is 14492069001.

It is a happy number.

The square root of 10096029441 is 100479.

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

10096029441 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 602 + 9 + 4 + 41 = 666.

10096029441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10091207025 + 4822416 = 100455^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10096029441 - 2²³ = 10087640833 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10096029396 and 10096029405.

It is not an unprimeable number, because it can be changed into a prime (10096029451) 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, 284691 + ... + 318183.

Almost surely, 2^10096029441 is an apocalyptic number.

10096029441 is the 100479-th square number.

10096029441 is the 50240-th centered octagonal number.

It is an amenable number.

10096029441 is a deficient number, since it is larger than the sum of its proper divisors (4487559618).

10096029441 is an frugal number, since it uses more digits than its factorization.

10096029441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66992 (or 33496 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 10096029441 by its sum of digits (36), we get a square (363457059876 = 602874²).

The spelling of 10096029441 in words is "ten billion, ninety-six million, twenty-nine thousand, four hundred forty-one".