10166285584 has 135 divisors (see below), whose sum is σ = 24901060527. Its totient is φ = 4007308032.

The previous prime is 10166285581. The next prime is 10166285587. The reversal of 10166285584 is 48558266101.

The square root of 10166285584 is 100828.

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

10166285584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10166285581) and next prime (10166285587).

It can be written as a sum of positive squares in 4 ways, for example, as 4702119184 + 5464166400 = 68572^2 + 73920^2 .

It is not an unprimeable number, because it can be changed into a prime (10166285581) 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 26 ways as a sum of consecutive naturals, for example, 36701254 + ... + 36701530.

Almost surely, 2^10166285584 is an apocalyptic number.

10166285584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10166285584 is the 100828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10166285584

10166285584 is an abundant number, since it is smaller than the sum of its proper divisors (14734774943).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10166285584 is an equidigital number, since it uses as much as digits as its factorization.

10166285584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 10166285584 in words is "ten billion, one hundred sixty-six million, two hundred eighty-five thousand, five hundred eighty-four".