215252100 has 216 divisors, whose sum is σ = 805469280. Its totient is φ = 49170240.

The previous prime is 215252077. The next prime is 215252143. The reversal of 215252100 is 1252512.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 131487 + ... + 133113.

Almost surely, 2^215252100 is an apocalyptic number.

215252100 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 215252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402734640).

215252100 is an abundant number, since it is smaller than the sum of its proper divisors (590217180).

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

215252100 is a wasteful number, since it uses less digits than its factorization.

215252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 215252100 is about 14671.4723187552. The cubic root of 215252100 is about 599.3066991986.

The spelling of 215252100 in words is "two hundred fifteen million, two hundred fifty-two thousand, one hundred".