55752100 has 18 divisors (see below), whose sum is σ = 120982274. Its totient is φ = 22300800.

The previous prime is 55752089. The next prime is 55752127. The reversal of 55752100 is 125755.

It is a happy number.

55752100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 40804 + 55711296 = 202^2 + 7464^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 5 ways as a sum of consecutive naturals, for example, 278661 + ... + 278860.

Almost surely, 2^55752100 is an apocalyptic number.

55752100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55752100 is an abundant number, since it is smaller than the sum of its proper divisors (65230174).

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

55752100 is a wasteful number, since it uses less digits than its factorization.

55752100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557535 (or 557528 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 25.

The square root of 55752100 is about 7466.7328866111. The cubic root of 55752100 is about 382.0208590348.

Adding to 55752100 its reverse (125755), we get a palindrome (55877855).

The spelling of 55752100 in words is "fifty-five million, seven hundred fifty-two thousand, one hundred".