100216080 has 120 divisors (see below), whose sum is σ = 338858520. Its totient is φ = 26542080.

The previous prime is 100216073. The next prime is 100216097. The reversal of 100216080 is 80612001.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 99680256 = 732^2 + 9984^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129936 + ... + 130704.

It is an arithmetic number, because the mean of its divisors is an integer number (2823821).

Almost surely, 2^100216080 is an apocalyptic number.

100216080 is a gapful number since it is divisible by the number (10) 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 100216080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169429260).

100216080 is an abundant number, since it is smaller than the sum of its proper divisors (238642440).

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

100216080 is a wasteful number, since it uses less digits than its factorization.

100216080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100216080 is about 10010.7981699763. The cubic root of 100216080 is about 464.4929610234.

Adding to 100216080 its reverse (80612001), we get a palindrome (180828081).

The spelling of 100216080 in words is "one hundred million, two hundred sixteen thousand, eighty".