106209822814225 has 27 divisors (see below), whose sum is σ = 142611153861969. Its totient is φ = 78431374476000.

The previous prime is 106209822814213. The next prime is 106209822814229. The reversal of 106209822814225 is 522418228902601.

The square root of 106209822814225 is 10305815.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 27375738945489 + 78834083868736 = 5232183^2 + 8878856^2 .

It is not a de Polignac number, because 106209822814225 - 2⁷ = 106209822814097 is a prime.

It is a super-2 number, since 2×106209822814225² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106209822814229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 669798700 + ... + 669957250.

Almost surely, 2^{106209822814225} is an apocalyptic number.

106209822814225 is the 10305815-th square number.

106209822814225 is the 5152908-th centered octagonal number.

It is an amenable number.

106209822814225 is a deficient number, since it is larger than the sum of its proper divisors (36401331047744).

106209822814225 is an frugal number, since it uses more digits than its factorization.

106209822814225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317138 (or 158569 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 106209822814225 in words is "one hundred six trillion, two hundred nine billion, eight hundred twenty-two million, eight hundred fourteen thousand, two hundred twenty-five".