52105354700 has 144 divisors (see below), whose sum is σ = 132255910080. Its totient is φ = 17448238080.

The previous prime is 52105354681. The next prime is 52105354703. The reversal of 52105354700 is 745350125.

It is not an unprimeable number, because it can be changed into a prime (52105354703) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8492834 + ... + 8498966.

It is an arithmetic number, because the mean of its divisors is an integer number (918443820).

Almost surely, 2^52105354700 is an apocalyptic number.

52105354700 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 52105354700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66127955040).

52105354700 is an abundant number, since it is smaller than the sum of its proper divisors (80150555380).

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

52105354700 is a wasteful number, since it uses less digits than its factorization.

52105354700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The spelling of 52105354700 in words is "fifty-two billion, one hundred five million, three hundred fifty-four thousand, seven hundred".