5100084 has 96 divisors (see below), whose sum is σ = 14878080. Its totient is φ = 1516320.

The previous prime is 5100083. The next prime is 5100097. The reversal of 5100084 is 4800015.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5100083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96202 + ... + 96254.

It is an arithmetic number, because the mean of its divisors is an integer number (154980).

Almost surely, 2^5100084 is an apocalyptic number.

5100084 is a gapful number since it is divisible by the number (54) 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 5100084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439040).

5100084 is an abundant number, since it is smaller than the sum of its proper divisors (9777996).

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

5100084 is a wasteful number, since it uses less digits than its factorization.

5100084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5100084 is about 2258.3365559633. The cubic root of 5100084 is about 172.1310070952.

Adding to 5100084 its reverse (4800015), we get a palindrome (9900099).

The spelling of 5100084 in words is "five million, one hundred thousand, eighty-four".