100216564 has 72 divisors (see below), whose sum is σ = 227525760. Its totient is φ = 38271744.

The previous prime is 100216561. The next prime is 100216577. The reversal of 100216564 is 465612001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100216561) by changing a digit.

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, 62517 + ... + 64099.

It is an arithmetic number, because the mean of its divisors is an integer number (3160080).

Almost surely, 2^100216564 is an apocalyptic number.

100216564 is a gapful number since it is divisible by the number (14) 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 100216564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762880).

100216564 is an abundant number, since it is smaller than the sum of its proper divisors (127309196).

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

100216564 is a wasteful number, since it uses less digits than its factorization.

100216564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 100216564 is about 10010.8223438437. The cubic root of 100216564 is about 464.4937087884.

Adding to 100216564 its reverse (465612001), we get a palindrome (565828565).

The spelling of 100216564 in words is "one hundred million, two hundred sixteen thousand, five hundred sixty-four".