100216576 has 36 divisors (see below), whose sum is σ = 206955000. Its totient is φ = 48376832.

The previous prime is 100216561. The next prime is 100216577. The reversal of 100216576 is 675612001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100216577) 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 3 ways as a sum of consecutive naturals, for example, 675 + ... + 14173.

It is an arithmetic number, because the mean of its divisors is an integer number (5748750).

Almost surely, 2^100216576 is an apocalyptic number.

100216576 is a gapful number since it is divisible by the number (16) 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 100216576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103477500).

100216576 is an abundant number, since it is smaller than the sum of its proper divisors (106738424).

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

100216576 is an equidigital number, since it uses as much as digits as its factorization.

100216576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13544 (or 13530 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 100216576 is about 10010.8229431950. The cubic root of 100216576 is about 464.4937273280.

Adding to 100216576 its reverse (675612001), we get a palindrome (775828577).

It can be divided in two parts, 1002 and 16576, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 100216576 in words is "one hundred million, two hundred sixteen thousand, five hundred seventy-six".