52141100 has 72 divisors (see below), whose sum is σ = 124867008. Its totient is φ = 18740800.

The previous prime is 52141099. The next prime is 52141109. The reversal of 52141100 is 114125.

52141100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52141109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 117479 + ... + 117921.

It is an arithmetic number, because the mean of its divisors is an integer number (1734264).

Almost surely, 2^52141100 is an apocalyptic number.

52141100 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 52141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62433504).

52141100 is an abundant number, since it is smaller than the sum of its proper divisors (72725908).

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

52141100 is a wasteful number, since it uses less digits than its factorization.

52141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 52141100 is about 7220.8794478235. The cubic root of 52141100 is about 373.5884116344.

Adding to 52141100 its reverse (114125), we get a palindrome (52255225).

The spelling of 52141100 in words is "fifty-two million, one hundred forty-one thousand, one hundred".