5118100 has 72 divisors (see below), whose sum is σ = 12443648. Its totient is φ = 1814400.

The previous prime is 5118089. The next prime is 5118101. The reversal of 5118100 is 18115.

It is a super-2 number, since 2×5118100² = 52389895220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5118101) 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, 40237 + ... + 40363.

Almost surely, 2^5118100 is an apocalyptic number.

5118100 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 5118100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221824).

5118100 is an abundant number, since it is smaller than the sum of its proper divisors (7325548).

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

5118100 is a wasteful number, since it uses less digits than its factorization.

5118100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 5118100 is about 2262.3218161880. The cubic root of 5118100 is about 172.3334526382. Note that the first 3 decimals are identical.

The spelling of 5118100 in words is "five million, one hundred eighteen thousand, one hundred".