5106358200 has 96 divisors (see below), whose sum is σ = 15910432560. Its totient is φ = 1354752000.

The previous prime is 5106358189. The next prime is 5106358219. The reversal of 5106358200 is 28536015.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96600 + ... + 139800.

Almost surely, 2^5106358200 is an apocalyptic number.

5106358200 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 5106358200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7955216280).

5106358200 is an abundant number, since it is smaller than the sum of its proper divisors (10804074360).

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

5106358200 is a wasteful number, since it uses less digits than its factorization.

5106358200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43417 (or 43408 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 5106358200 is about 71458.7867235374. The cubic root of 5106358200 is about 1722.0156422045.

The spelling of 5106358200 in words is "five billion, one hundred six million, three hundred fifty-eight thousand, two hundred".