216701100 has 432 divisors, whose sum is σ = 877443840. Its totient is φ = 43430400.

The previous prime is 216701083. The next prime is 216701141. The reversal of 216701100 is 1107612.

216701100 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3672871 + ... + 3672929.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^216701100 is an apocalyptic number.

216701100 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 216701100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

216701100 is an abundant number, since it is smaller than the sum of its proper divisors (660742740).

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

216701100 is a wasteful number, since it uses less digits than its factorization.

216701100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 216701100 is about 14720.7710395889. The cubic root of 216701100 is about 600.6484655682.

Adding to 216701100 its reverse (1107612), we get a palindrome (217808712).

The spelling of 216701100 in words is "two hundred sixteen million, seven hundred one thousand, one hundred".