216776100 has 72 divisors (see below), whose sum is σ = 628827808. Its totient is φ = 57657600.

The previous prime is 216776099. The next prime is 216776113. The reversal of 216776100 is 1677612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163440 + ... + 164760.

Almost surely, 2^216776100 is an apocalyptic number.

216776100 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 216776100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314413904).

216776100 is an abundant number, since it is smaller than the sum of its proper divisors (412051708).

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

216776100 is a wasteful number, since it uses less digits than its factorization.

216776100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 216776100 is about 14723.3182401251. The cubic root of 216776100 is about 600.7177521551.

The spelling of 216776100 in words is "two hundred sixteen million, seven hundred seventy-six thousand, one hundred".