215052100 has 36 divisors (see below), whose sum is σ = 467384148. Its totient is φ = 85888000.

The previous prime is 215052083. The next prime is 215052107. The reversal of 215052100 is 1250512.

215052100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 59351616 + 155700484 = 7704^2 + 12478^2 .

It is not an unprimeable number, because it can be changed into a prime (215052107) 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, 86880 + ... + 89320.

It is an arithmetic number, because the mean of its divisors is an integer number (12982893).

Almost surely, 2^215052100 is an apocalyptic number.

215052100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215052100 is an abundant number, since it is smaller than the sum of its proper divisors (252332048).

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

215052100 is a wasteful number, since it uses less digits than its factorization.

215052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 215052100 is about 14664.6547862539. The cubic root of 215052100 is about 599.1210277900.

The spelling of 215052100 in words is "two hundred fifteen million, fifty-two thousand, one hundred".