5106000900 has 576 divisors, whose sum is σ = 20298700800. Its totient is φ = 976550400.

The previous prime is 5106000839. The next prime is 5106000919. The reversal of 5106000900 is 90006015.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14714527 + ... + 14714873.

It is an arithmetic number, because the mean of its divisors is an integer number (35240800).

Almost surely, 2^5106000900 is an apocalyptic number.

5106000900 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 5106000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10149350400).

5106000900 is an abundant number, since it is smaller than the sum of its proper divisors (15192699900).

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

5106000900 is a wasteful number, since it uses less digits than its factorization.

5106000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

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

The square root of 5106000900 is about 71456.2866373561. The cubic root of 5106000900 is about 1721.9754772104.

Adding to 5106000900 its reverse (90006015), we get a palindrome (5196006915).

The spelling of 5106000900 in words is "five billion, one hundred six million, nine hundred", and thus it is an aban number.