5101200 has 180 divisors, whose sum is σ = 19239220. Its totient is φ = 1244160.

The previous prime is 5101189. The next prime is 5101211. The reversal of 5101200 is 21015.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5101189) and next prime (5101211).

It can be written as a sum of positive squares in 6 ways, for example, as 278784 + 4822416 = 528^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 46746 + ... + 46854.

Almost surely, 2^5101200 is an apocalyptic number.

5101200 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 5101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9619610).

5101200 is an abundant number, since it is smaller than the sum of its proper divisors (14138020).

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

5101200 is a wasteful number, since it uses less digits than its factorization.

5101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

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

The square root of 5101200 is about 2258.5836269662. The cubic root of 5101200 is about 172.1435614109.

Adding to 5101200 its reverse (21015), we get a palindrome (5122215).

The spelling of 5101200 in words is "five million, one hundred one thousand, two hundred".