100221504 has 112 divisors (see below), whose sum is σ = 283342080. Its totient is φ = 31173120.

The previous prime is 100221503. The next prime is 100221509. The reversal of 100221504 is 405122001.

It is not an unprimeable number, because it can be changed into a prime (100221503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302619 + ... + 302949.

It is an arithmetic number, because the mean of its divisors is an integer number (2529840).

Almost surely, 2^100221504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141671040).

100221504 is an abundant number, since it is smaller than the sum of its proper divisors (183120576).

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

100221504 is a wasteful number, since it uses less digits than its factorization.

100221504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 100221504 is about 10011.0690737803. The cubic root of 100221504 is about 464.5013407976.

Adding to 100221504 its reverse (405122001), we get a palindrome (505343505).

The spelling of 100221504 in words is "one hundred million, two hundred twenty-one thousand, five hundred four".