52105200 has 120 divisors (see below), whose sum is σ = 190785408. Its totient is φ = 11907840.

The previous prime is 52105177. The next prime is 52105231. The reversal of 52105200 is 250125.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 52105200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5299 + ... + 11501.

Almost surely, 2^52105200 is an apocalyptic number.

52105200 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 52105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95392704).

52105200 is an abundant number, since it is smaller than the sum of its proper divisors (138680208).

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

52105200 is a wasteful number, since it uses less digits than its factorization.

52105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6231 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 52105200 is about 7218.3931729991. The cubic root of 52105200 is about 373.5026513721.

Adding to 52105200 its reverse (250125), we get a palindrome (52355325).

The spelling of 52105200 in words is "fifty-two million, one hundred five thousand, two hundred".