106828225253 has 2 divisors, whose sum is σ = 106828225254. Its totient is φ = 106828225252.

The previous prime is 106828225183. The next prime is 106828225279. The reversal of 106828225253 is 352522828601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91241451844 + 15586773409 = 302062^2 + 124847^2 .

It is an emirp because it is prime and its reverse (352522828601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106828225253 - 2¹⁰ = 106828224229 is a prime.

It is a super-2 number, since 2×106828225253² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106824225253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53414112626 + 53414112627.

It is an arithmetic number, because the mean of its divisors is an integer number (53414112627).

Almost surely, 2^106828225253 is an apocalyptic number.

It is an amenable number.

106828225253 is a deficient number, since it is larger than the sum of its proper divisors (1).

106828225253 is an equidigital number, since it uses as much as digits as its factorization.

106828225253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 106828225253 in words is "one hundred six billion, eight hundred twenty-eight million, two hundred twenty-five thousand, two hundred fifty-three".