5180100 has 72 divisors (see below), whose sum is σ = 15499008. Its totient is φ = 1334400.

The previous prime is 5180099. The next prime is 5180101. The reversal of 5180100 is 10815.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5180099) and next prime (5180101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5180100.

It is not an unprimeable number, because it can be changed into a prime (5180101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9022 + ... + 9578.

It is an arithmetic number, because the mean of its divisors is an integer number (215264).

Almost surely, 2^5180100 is an apocalyptic number.

5180100 is a gapful number since it is divisible by the number (50) 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 5180100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749504).

5180100 is an abundant number, since it is smaller than the sum of its proper divisors (10318908).

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

5180100 is a wasteful number, since it uses less digits than its factorization.

5180100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 5180100 is about 2275.9833039809. The cubic root of 5180100 is about 173.0265365199.

Adding to 5180100 its reverse (10815), we get a palindrome (5190915).

The spelling of 5180100 in words is "five million, one hundred eighty thousand, one hundred".