52845100 has 72 divisors (see below), whose sum is σ = 142990848. Its totient is φ = 16468800.

The previous prime is 52845071. The next prime is 52845109. The reversal of 52845100 is 154825.

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

It is not an unprimeable number, because it can be changed into a prime (52845109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4269 + ... + 11131.

It is an arithmetic number, because the mean of its divisors is an integer number (1985984).

Almost surely, 2^52845100 is an apocalyptic number.

52845100 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 52845100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71495424).

52845100 is an abundant number, since it is smaller than the sum of its proper divisors (90145748).

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

52845100 is a wasteful number, since it uses less digits than its factorization.

52845100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6895 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 52845100 is about 7269.4635290371. The cubic root of 52845100 is about 375.2622757803.

Adding to 52845100 its reverse (154825), we get a palindrome (52999925).

The spelling of 52845100 in words is "fifty-two million, eight hundred forty-five thousand, one hundred".