100706225 has 12 divisors (see below), whose sum is σ = 125104716. Its totient is φ = 80417280.

The previous prime is 100706189. The next prime is 100706233. The reversal of 100706225 is 522607001.

It can be written as a sum of positive squares in 6 ways, for example, as 9541921 + 91164304 = 3089^2 + 9548^2 .

It is not a de Polignac number, because 100706225 - 2¹⁶ = 100640689 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100706225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11429 + ... + 18221.

It is an arithmetic number, because the mean of its divisors is an integer number (10425393).

Almost surely, 2^100706225 is an apocalyptic number.

It is an amenable number.

100706225 is a deficient number, since it is larger than the sum of its proper divisors (24398491).

100706225 is an equidigital number, since it uses as much as digits as its factorization.

100706225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7396 (or 7391 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 100706225 is about 10035.2491249595. The cubic root of 100706225 is about 465.2489898643.

The spelling of 100706225 in words is "one hundred million, seven hundred six thousand, two hundred twenty-five".