102123225 has 36 divisors (see below), whose sum is σ = 184304796. Its totient is φ = 54051840.

The previous prime is 102123223. The next prime is 102123227. The reversal of 102123225 is 522321201.

It is an interprime number because it is at equal distance from previous prime (102123223) and next prime (102123227).

It can be written as a sum of positive squares in 6 ways, for example, as 2442969 + 99680256 = 1563^2 + 9984^2 .

It is not a de Polignac number, because 102123225 - 2¹ = 102123223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102123198 and 102123207.

It is not an unprimeable number, because it can be changed into a prime (102123223) 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 35 ways as a sum of consecutive naturals, for example, 29169 + ... + 32481.

Almost surely, 2^102123225 is an apocalyptic number.

102123225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102123225 is a deficient number, since it is larger than the sum of its proper divisors (82181571).

102123225 is a wasteful number, since it uses less digits than its factorization.

102123225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102123225 is about 10105.6036435237. The cubic root of 102123225 is about 467.4209499635.

Adding to 102123225 its reverse (522321201), we get a palindrome (624444426).

The spelling of 102123225 in words is "one hundred two million, one hundred twenty-three thousand, two hundred twenty-five".