10080084 has 96 divisors (see below), whose sum is σ = 28672000. Its totient is φ = 2751840.

The previous prime is 10080073. The next prime is 10080107. The reversal of 10080084 is 48008001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10080084.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127557 + ... + 127635.

Almost surely, 2^10080084 is an apocalyptic number.

10080084 is a gapful number since it is divisible by the number (14) 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 10080084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336000).

10080084 is an abundant number, since it is smaller than the sum of its proper divisors (18591916).

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

10080084 is a wasteful number, since it uses less digits than its factorization.

10080084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10080084 is about 3174.9148020065. The cubic root of 10080084 is about 216.0170596951.

Adding to 10080084 its reverse (48008001), we get a palindrome (58088085).

The spelling of 10080084 in words is "ten million, eighty thousand, eighty-four".