123105725 has 24 divisors (see below), whose sum is σ = 158743560. Its totient is φ = 94590720.

The previous prime is 123105679. The next prime is 123105727. The reversal of 123105725 is 527501321.

It can be written as a sum of positive squares in 12 ways, for example, as 94225849 + 28879876 = 9707^2 + 5374^2 .

It is not a de Polignac number, because 123105725 - 2⁸ = 123105469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123105694 and 123105703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123105727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200519 + ... + 201131.

It is an arithmetic number, because the mean of its divisors is an integer number (6614315).

Almost surely, 2^123105725 is an apocalyptic number.

It is an amenable number.

123105725 is a deficient number, since it is larger than the sum of its proper divisors (35637835).

123105725 is a wasteful number, since it uses less digits than its factorization.

123105725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 123105725 is about 11095.3019337015. The cubic root of 123105725 is about 497.4614331693.

The spelling of 123105725 in words is "one hundred twenty-three million, one hundred five thousand, seven hundred twenty-five".