123106248225 has 189 divisors, whose sum is σ = 241392623017. Its totient is φ = 62246257920.

The previous prime is 123106248203. The next prime is 123106248227. The reversal of 123106248225 is 522842601321.

The square root of 123106248225 is 350865.

It is a perfect power (a square), and thus also a powerful number.

123106248225 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 0 + 624 + 8 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62631569169 + 60474679056 = 250263^2 + 245916^2 .

It is not a de Polignac number, because 123106248225 - 2⁹ = 123106247713 is a prime.

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 123106248225.

It is not an unprimeable number, because it can be changed into a prime (123106248227) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1089435769 + ... + 1089435881.

Almost surely, 2^123106248225 is an apocalyptic number.

123106248225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123106248225 is the 350865-th square number.

123106248225 is the 175433-rd centered octagonal number.

It is an amenable number.

123106248225 is a deficient number, since it is larger than the sum of its proper divisors (118286374792).

123106248225 is an frugal number, since it uses more digits than its factorization.

123106248225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 123106248225 by its sum of digits (36), we get a square (4431824936100 = 2105190²).

Adding to 123106248225 its reverse (522842601321), we get a palindrome (645948849546).

The spelling of 123106248225 in words is "one hundred twenty-three billion, one hundred six million, two hundred forty-eight thousand, two hundred twenty-five".