100220985 has 24 divisors (see below), whose sum is σ = 179322624. Its totient is φ = 51726240.

The previous prime is 100220971. The next prime is 100220993. The reversal of 100220985 is 589022001.

It is not a de Polignac number, because 100220985 - 2⁴ = 100220969 is a prime.

It is a super-3 number, since 3×100220985³ (a number of 25 digits) contains 333 as substring.

It is a Curzon 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, 34527 + ... + 37316.

It is an arithmetic number, because the mean of its divisors is an integer number (7471776).

Almost surely, 2^100220985 is an apocalyptic number.

100220985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100220985 is a deficient number, since it is larger than the sum of its proper divisors (79101639).

100220985 is a wasteful number, since it uses less digits than its factorization.

100220985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71885 (or 71882 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 100220985 is about 10011.0431524392. The cubic root of 100220985 is about 464.5005389850.

Adding to 100220985 its reverse (589022001), we get a palindrome (689242986).

The spelling of 100220985 in words is "one hundred million, two hundred twenty thousand, nine hundred eighty-five".