10032584090 has 16 divisors (see below), whose sum is σ = 18218464488. Its totient is φ = 3977519616.

The previous prime is 10032584083. The next prime is 10032584099. The reversal of 10032584090 is 9048523001.

It can be written as a sum of positive squares in 4 ways, for example, as 3892137769 + 6140446321 = 62387^2 + 78361^2 .

It is a super-2 number, since 2×10032584090² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10032584099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4438067 + ... + 4440326.

Almost surely, 2^10032584090 is an apocalyptic number.

10032584090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10032584090 is a deficient number, since it is larger than the sum of its proper divisors (8185880398).

10032584090 is a wasteful number, since it uses less digits than its factorization.

10032584090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8878513.

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 10032584090 in words is "ten billion, thirty-two million, five hundred eighty-four thousand, ninety".