5106900 has 72 divisors (see below), whose sum is σ = 15311520. Its totient is φ = 1312640.

The previous prime is 5106869. The next prime is 5106901. The reversal of 5106900 is 96015.

It is a super-2 number, since 2×5106900² = 52160855220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8407 + ... + 8993.

It is an arithmetic number, because the mean of its divisors is an integer number (212660).

Almost surely, 2^5106900 is an apocalyptic number.

5106900 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 5106900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7655760).

5106900 is an abundant number, since it is smaller than the sum of its proper divisors (10204620).

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

5106900 is a wasteful number, since it uses less digits than its factorization.

5106900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 5106900 is about 2259.8451274368. The cubic root of 5106900 is about 172.2076543734.

It can be divided in two parts, 5106 and 900, that added together give a palindrome (6006).

The spelling of 5106900 in words is "five million, one hundred six thousand, nine hundred".