100444221 has 12 divisors (see below), whose sum is σ = 145691260. Its totient is φ = 66683520.

The previous prime is 100444213. The next prime is 100444249. The reversal of 100444221 is 122444001.

100444221 is a `hidden beast` number, since 1 + 0 + 0 + 444 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78960996 + 21483225 = 8886^2 + 4635^2 .

It is not a de Polignac number, because 100444221 - 2³ = 100444213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100444194 and 100444203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100444271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20986 + ... + 25323.

Almost surely, 2^100444221 is an apocalyptic number.

It is an amenable number.

100444221 is a deficient number, since it is larger than the sum of its proper divisors (45247039).

100444221 is a wasteful number, since it uses less digits than its factorization.

100444221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46556 (or 46553 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 100444221 is about 10022.1864380982. The cubic root of 100444221 is about 464.8451652372.

Adding to 100444221 its reverse (122444001), we get a palindrome (222888222).

The spelling of 100444221 in words is "one hundred million, four hundred forty-four thousand, two hundred twenty-one".