52200100 has 36 divisors (see below), whose sum is σ = 114337300. Its totient is φ = 20684160.

The previous prime is 52200061. The next prime is 52200103. The reversal of 52200100 is 100225.

It can be written as a sum of positive squares in 6 ways, for example, as 4562496 + 47637604 = 2136^2 + 6902^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (52200103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8506 + ... + 13294.

Almost surely, 2^52200100 is an apocalyptic number.

52200100 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 52200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57168650).

52200100 is an abundant number, since it is smaller than the sum of its proper divisors (62137200).

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

52200100 is a wasteful number, since it uses less digits than its factorization.

52200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4912 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 52200100 is about 7224.9636677287. The cubic root of 52200100 is about 373.7292692163.

Adding to 52200100 its reverse (100225), we get a palindrome (52300325).

The spelling of 52200100 in words is "fifty-two million, two hundred thousand, one hundred".