252297100 has 108 divisors (see below), whose sum is σ = 623397600. Its totient is φ = 88457600.

The previous prime is 252297083. The next prime is 252297103. The reversal of 252297100 is 1792252.

It is not an unprimeable number, because it can be changed into a prime (252297103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 350541 + ... + 351259.

It is an arithmetic number, because the mean of its divisors is an integer number (5772200).

Almost surely, 2^252297100 is an apocalyptic number.

252297100 is a gapful number since it is divisible by the number (20) 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 252297100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311698800).

252297100 is an abundant number, since it is smaller than the sum of its proper divisors (371100500).

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

252297100 is a wasteful number, since it uses less digits than its factorization.

252297100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 252297100 is about 15883.8628802946. The cubic root of 252297100 is about 631.8840885274.

The spelling of 252297100 in words is "two hundred fifty-two million, two hundred ninety-seven thousand, one hundred".