10005182208 has 540 divisors, whose sum is σ = 35666594040. Its totient is φ = 2779951104.

The previous prime is 10005182197. The next prime is 10005182233. The reversal of 10005182208 is 80228150001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43690638 + ... + 43690866.

Almost surely, 2^10005182208 is an apocalyptic number.

10005182208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005182208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833297020).

10005182208 is an abundant number, since it is smaller than the sum of its proper divisors (25661411832).

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

10005182208 is an equidigital number, since it uses as much as digits as its factorization.

10005182208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 10005182208 in words is "ten billion, five million, one hundred eighty-two thousand, two hundred eight".