106116125 has 16 divisors (see below), whose sum is σ = 140225904. Its totient is φ = 79897600.

The previous prime is 106116119. The next prime is 106116139. The reversal of 106116125 is 521611601.

It can be written as a sum of positive squares in 8 ways, for example, as 34916281 + 71199844 = 5909^2 + 8438^2 .

It is not a de Polignac number, because 106116125 - 2⁶ = 106116061 is a prime.

It is a super-2 number, since 2×106116125² = 22521263970031250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106116125.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22844 + ... + 27093.

It is an arithmetic number, because the mean of its divisors is an integer number (8764119).

Almost surely, 2^106116125 is an apocalyptic number.

It is an amenable number.

106116125 is a deficient number, since it is larger than the sum of its proper divisors (34109779).

106116125 is an equidigital number, since it uses as much as digits as its factorization.

106116125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49969 (or 49959 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 106116125 is about 10301.2681258183. The cubic root of 106116125 is about 473.4351086556.

Adding to 106116125 its reverse (521611601), we get a palindrome (627727726).

The spelling of 106116125 in words is "one hundred six million, one hundred sixteen thousand, one hundred twenty-five".