5101600 has 72 divisors (see below), whose sum is σ = 14249088. Its totient is φ = 1747200.

The previous prime is 5101573. The next prime is 5101609. The reversal of 5101600 is 61015.

It is not an unprimeable number, because it can be changed into a prime (5101609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5145 + ... + 6055.

It is an arithmetic number, because the mean of its divisors is an integer number (197904).

Almost surely, 2^5101600 is an apocalyptic number.

5101600 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 5101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544).

5101600 is an abundant number, since it is smaller than the sum of its proper divisors (9147488).

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

5101600 is a wasteful number, since it uses less digits than its factorization.

5101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 5101600 is about 2258.6721763018. The cubic root of 5101600 is about 172.1480607199.

Adding to 5101600 its reverse (61015), we get a palindrome (5162615).

The spelling of 5101600 in words is "five million, one hundred one thousand, six hundred".