106200284225 has 12 divisors (see below), whose sum is σ = 150500974464. Its totient is φ = 72823051920.

The previous prime is 106200284213. The next prime is 106200284257. The reversal of 106200284225 is 522482002601.

It is not a de Polignac number, because 106200284225 - 2⁴ = 106200284209 is a prime.

It is a super-3 number, since 3×106200284225³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106200284191 and 106200284200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303429209 + ... + 303429558.

It is an arithmetic number, because the mean of its divisors is an integer number (12541747872).

Almost surely, 2^106200284225 is an apocalyptic number.

It is an amenable number.

106200284225 is a deficient number, since it is larger than the sum of its proper divisors (44300690239).

106200284225 is an equidigital number, since it uses as much as digits as its factorization.

106200284225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606858784 (or 606858779 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 106200284225 its reverse (522482002601), we get a palindrome (628682286826).

The spelling of 106200284225 in words is "one hundred six billion, two hundred million, two hundred eighty-four thousand, two hundred twenty-five".