215132100 has 72 divisors (see below), whose sum is σ = 625147488. Its totient is φ = 57120000.

The previous prime is 215132081. The next prime is 215132111. The reversal of 215132100 is 1231512.

215132100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 215132100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73872 + ... + 76728.

It is an arithmetic number, because the mean of its divisors is an integer number (8682604).

Almost surely, 2^215132100 is an apocalyptic number.

215132100 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 215132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312573744).

215132100 is an abundant number, since it is smaller than the sum of its proper divisors (410015388).

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

215132100 is a wasteful number, since it uses less digits than its factorization.

215132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 215132100 is about 14667.3821795166. The cubic root of 215132100 is about 599.1953101618.

Adding to 215132100 its reverse (1231512), we get a palindrome (216363612).

The spelling of 215132100 in words is "two hundred fifteen million, one hundred thirty-two thousand, one hundred".