102414325 has 24 divisors (see below), whose sum is σ = 137597096. Its totient is φ = 75168000.

The previous prime is 102414293. The next prime is 102414337. The reversal of 102414325 is 523414201.

It can be written as a sum of positive squares in 12 ways, for example, as 100821681 + 1592644 = 10041^2 + 1262^2 .

It is not a de Polignac number, because 102414325 - 2⁵ = 102414293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102414296 and 102414305.

It is a congruent number.

It is an unprimeable number.

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, 57955 + ... + 59695.

Almost surely, 2^102414325 is an apocalyptic number.

It is an amenable number.

102414325 is a deficient number, since it is larger than the sum of its proper divisors (35182771).

102414325 is a wasteful number, since it uses less digits than its factorization.

102414325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 102414325 is about 10119.9962944657. The cubic root of 102414325 is about 467.8646530104.

Adding to 102414325 its reverse (523414201), we get a palindrome (625828526).

The spelling of 102414325 in words is "one hundred two million, four hundred fourteen thousand, three hundred twenty-five".