10035832041 has 15 divisors (see below), whose sum is σ = 14993145453. Its totient is φ = 6689953620.

The previous prime is 10035832039. The next prime is 10035832063. The reversal of 10035832041 is 14023853001.

It is a happy number.

The square root of 10035832041 is 100179.

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

10035832041 is a `hidden beast` number, since 100 + 358 + 3 + 204 + 1 = 666.

10035832041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10035832041 - 2¹ = 10035832039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10035831996 and 10035832014.

It is not an unprimeable number, because it can be changed into a prime (10035832141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 896046 + ... + 907176.

Almost surely, 2^10035832041 is an apocalyptic number.

10035832041 is the 100179-th square number.

10035832041 is the 50090-th centered octagonal number.

It is an amenable number.

10035832041 is a deficient number, since it is larger than the sum of its proper divisors (4957313412).

10035832041 is an frugal number, since it uses more digits than its factorization.

10035832041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22274 (or 11134 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10035832041 in words is "ten billion, thirty-five million, eight hundred thirty-two thousand, forty-one".