102125625 has 80 divisors (see below), whose sum is σ = 201535488. Its totient is φ = 45000000.

The previous prime is 102125609. The next prime is 102125641. The reversal of 102125625 is 526521201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102125609) and next prime (102125641).

It is not a de Polignac number, because 102125625 - 2⁴ = 102125609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102125595 and 102125604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 406750 + ... + 407000.

Almost surely, 2^102125625 is an apocalyptic number.

102125625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102125625 is a deficient number, since it is larger than the sum of its proper divisors (99409863).

102125625 is an equidigital number, since it uses as much as digits as its factorization.

102125625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 102125625 is about 10105.7223888251. The cubic root of 102125625 is about 467.4246115579.

Adding to 102125625 its reverse (526521201), we get a palindrome (628646826).

The spelling of 102125625 in words is "one hundred two million, one hundred twenty-five thousand, six hundred twenty-five".