100221660 has 216 divisors, whose sum is σ = 386161776. Its totient is φ = 20805120.

The previous prime is 100221643. The next prime is 100221689. The reversal of 100221660 is 66122001.

It is a happy number.

100221660 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 1 + 660 = 666.

It is a super-2 number, since 2×100221660² = 20088762266311200, which contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96504 + ... + 97536.

It is an arithmetic number, because the mean of its divisors is an integer number (1787786).

Almost surely, 2^100221660 is an apocalyptic number.

100221660 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 100221660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193080888).

100221660 is an abundant number, since it is smaller than the sum of its proper divisors (285940116).

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

100221660 is a wasteful number, since it uses less digits than its factorization.

100221660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100221660 is about 10011.0768651529. The cubic root of 100221660 is about 464.5015818044.

Adding to 100221660 its reverse (66122001), we get a palindrome (166343661).

The spelling of 100221660 in words is "one hundred million, two hundred twenty-one thousand, six hundred sixty".