106075825 has 12 divisors (see below), whose sum is σ = 131782860. Its totient is φ = 84700160.

The previous prime is 106075817. The next prime is 106075829. The reversal of 106075825 is 528570601.

It can be written as a sum of positive squares in 6 ways, for example, as 18241441 + 87834384 = 4271^2 + 9372^2 .

It is not a de Polignac number, because 106075825 - 2³ = 106075817 is a prime.

It is a super-2 number, since 2×106075825² = 22504161298861250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106075829) 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 11 ways as a sum of consecutive naturals, for example, 10497 + ... + 17953.

It is an arithmetic number, because the mean of its divisors is an integer number (10981905).

Almost surely, 2^106075825 is an apocalyptic number.

It is an amenable number.

106075825 is a deficient number, since it is larger than the sum of its proper divisors (25707035).

106075825 is an equidigital number, since it uses as much as digits as its factorization.

106075825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8036 (or 8031 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 106075825 is about 10299.3118702173. The cubic root of 106075825 is about 473.3751685014.

The spelling of 106075825 in words is "one hundred six million, seventy-five thousand, eight hundred twenty-five".