10005434660331 has 48 divisors (see below), whose sum is σ = 15780479315328. Its totient is φ = 6058386816000.

The previous prime is 10005434660293. The next prime is 10005434660387. The reversal of 10005434660331 is 13306643450001.

10005434660331 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 4 + 3 + 46 + 603 + 3 + 1 = 666.

10005434660331 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 10005434660331 - 2⁶ = 10005434660267 is a prime.

It is a super-2 number, since 2×10005434660331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005434660531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 758728120 + ... + 758741306.

It is an arithmetic number, because the mean of its divisors is an integer number (328759985736).

Almost surely, 2^{10005434660331} is an apocalyptic number.

10005434660331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10005434660331 is a deficient number, since it is larger than the sum of its proper divisors (5775044654997).

10005434660331 is a wasteful number, since it uses less digits than its factorization.

10005434660331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19592 (or 19589 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 10005434660331 in words is "ten trillion, five billion, four hundred thirty-four million, six hundred sixty thousand, three hundred thirty-one".