10205329983 has 16 divisors (see below), whose sum is σ = 14156660736. Its totient is φ = 6532233120.

The previous prime is 10205329969. The next prime is 10205329991. The reversal of 10205329983 is 38992350201.

10205329983 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 10205329983 - 2⁸ = 10205329727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205329933) 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 15 ways as a sum of consecutive naturals, for example, 420216 + ... + 443837.

It is an arithmetic number, because the mean of its divisors is an integer number (884791296).

Almost surely, 2^10205329983 is an apocalyptic number.

10205329983 is a deficient number, since it is larger than the sum of its proper divisors (3951330753).

10205329983 is a wasteful number, since it uses less digits than its factorization.

10205329983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864214.

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 10205329983 in words is "ten billion, two hundred five million, three hundred twenty-nine thousand, nine hundred eighty-three".