52232100 has 72 divisors (see below), whose sum is σ = 154677600. Its totient is φ = 13601280.

The previous prime is 52232077. The next prime is 52232107. The reversal of 52232100 is 123225.

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 52232100.

It is not an unprimeable number, because it can be changed into a prime (52232107) 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, 10876 + ... + 14924.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 2^52232100 is an apocalyptic number.

52232100 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 52232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77338800).

52232100 is an abundant number, since it is smaller than the sum of its proper divisors (102445500).

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

52232100 is a wasteful number, since it uses less digits than its factorization.

52232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 52232100 is about 7227.1778724479. The cubic root of 52232100 is about 373.8056221584.

Adding to 52232100 its reverse (123225), we get a palindrome (52355325).

The spelling of 52232100 in words is "fifty-two million, two hundred thirty-two thousand, one hundred".