5100120 has 96 divisors (see below), whose sum is σ = 17147520. Its totient is φ = 1313280.

The previous prime is 5100097. The next prime is 5100127. The reversal of 5100120 is 210015.

It is a happy number.

It is a super-2 number, since 2×5100120² = 52022448028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5100127) 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 23 ways as a sum of consecutive naturals, for example, 10932 + ... + 11388.

It is an arithmetic number, because the mean of its divisors is an integer number (178620).

Almost surely, 2^5100120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573760).

5100120 is an abundant number, since it is smaller than the sum of its proper divisors (12047400).

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

5100120 is a wasteful number, since it uses less digits than its factorization.

5100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 5100120 is about 2258.3445264175. The cubic root of 5100120 is about 172.1314121017.

Adding to 5100120 its reverse (210015), we get a palindrome (5310135).

The spelling of 5100120 in words is "five million, one hundred thousand, one hundred twenty".