106068625 has 24 divisors (see below), whose sum is σ = 143368056. Its totient is φ = 78312000.

The previous prime is 106068623. The next prime is 106068643. The reversal of 106068625 is 526860601.

It can be written as a sum of positive squares in 12 ways, for example, as 88529281 + 17539344 = 9409^2 + 4188^2 .

It is not a de Polignac number, because 106068625 - 2¹ = 106068623 is a prime.

It is a super-2 number, since 2×106068625² = 22501106418781250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106068623) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18615 + ... + 23635.

It is an arithmetic number, because the mean of its divisors is an integer number (5973669).

Almost surely, 2^106068625 is an apocalyptic number.

It is an amenable number.

106068625 is a deficient number, since it is larger than the sum of its proper divisors (37299431).

106068625 is an equidigital number, since it uses as much as digits as its factorization.

106068625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 106068625 is about 10298.9623263706. The cubic root of 106068625 is about 473.3644579921.

The spelling of 106068625 in words is "one hundred six million, sixty-eight thousand, six hundred twenty-five".