221055100 has 72 divisors (see below), whose sum is σ = 559964160. Its totient is φ = 74166720.

The previous prime is 221055083. The next prime is 221055151. The reversal of 221055100 is 1550122.

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, 29541 + ... + 36259.

It is an arithmetic number, because the mean of its divisors is an integer number (7777280).

Almost surely, 2^221055100 is an apocalyptic number.

221055100 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 221055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279982080).

221055100 is an abundant number, since it is smaller than the sum of its proper divisors (338909060).

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

221055100 is a wasteful number, since it uses less digits than its factorization.

221055100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6787 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 221055100 is about 14867.9218453690. The cubic root of 221055100 is about 604.6446015033.

The spelling of 221055100 in words is "two hundred twenty-one million, fifty-five thousand, one hundred".