215796100 has 81 divisors (see below), whose sum is σ = 511596813. Its totient is φ = 78973440.

The previous prime is 215796071. The next prime is 215796107. The reversal of 215796100 is 1697512.

The square root of 215796100 is 14690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 183169156 + 32626944 = 13534^2 + 5712^2 .

It is not an unprimeable number, because it can be changed into a prime (215796107) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1909644 + ... + 1909756.

Almost surely, 2^215796100 is an apocalyptic number.

215796100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

215796100 is the 14690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215796100

215796100 is an abundant number, since it is smaller than the sum of its proper divisors (295800713).

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

215796100 is a wasteful number, since it uses less digits than its factorization.

215796100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The cubic root of 215796100 is about 599.8111442658.

The spelling of 215796100 in words is "two hundred fifteen million, seven hundred ninety-six thousand, one hundred".