5101757100 has 216 divisors, whose sum is σ = 17871824880. Its totient is φ = 1206528000.

The previous prime is 5101757093. The next prime is 5101757131. The reversal of 5101757100 is 17571015.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 399616 + ... + 412184.

It is an arithmetic number, because the mean of its divisors is an integer number (82739930).

Almost surely, 2^5101757100 is an apocalyptic number.

5101757100 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 5101757100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8935912440).

5101757100 is an abundant number, since it is smaller than the sum of its proper divisors (12770067780).

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

5101757100 is a wasteful number, since it uses less digits than its factorization.

5101757100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12641 (or 12631 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 27.

The square root of 5101757100 is about 71426.5853866752. The cubic root of 5101757100 is about 1721.4982775920.

The spelling of 5101757100 in words is "five billion, one hundred one million, seven hundred fifty-seven thousand, one hundred".