100206225 has 108 divisors (see below), whose sum is σ = 213630300. Its totient is φ = 44755200.

The previous prime is 100206203. The next prime is 100206233. The reversal of 100206225 is 522602001.

It can be written as a sum of positive squares in 6 ways, for example, as 37859409 + 62346816 = 6153^2 + 7896^2 .

It is not a de Polignac number, because 100206225 - 2⁷ = 100206097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100206198 and 100206207.

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 107 ways as a sum of consecutive naturals, for example, 672451 + ... + 672599.

Almost surely, 2^100206225 is an apocalyptic number.

100206225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100206225 is an abundant number, since it is smaller than the sum of its proper divisors (113424075).

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

100206225 is a wasteful number, since it uses less digits than its factorization.

100206225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100206225 is about 10010.3059393807. The cubic root of 100206225 is about 464.4777348302.

Adding to 100206225 its reverse (522602001), we get a palindrome (622808226).

The spelling of 100206225 in words is "one hundred million, two hundred six thousand, two hundred twenty-five".