102306125 has 16 divisors (see below), whose sum is σ = 127960560. Its totient is φ = 81664000.

The previous prime is 102306109. The next prime is 102306133. The reversal of 102306125 is 521603201.

It can be written as a sum of positive squares in 8 ways, for example, as 81685444 + 20620681 = 9038^2 + 4541^2 .

It is not a de Polignac number, because 102306125 - 2⁴ = 102306109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102306097 and 102306106.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 109661 + ... + 110589.

It is an arithmetic number, because the mean of its divisors is an integer number (7997535).

Almost surely, 2^102306125 is an apocalyptic number.

It is an amenable number.

102306125 is a deficient number, since it is larger than the sum of its proper divisors (25654435).

102306125 is an frugal number, since it uses more digits than its factorization.

102306125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 102306125 is about 10114.6490299960. The cubic root of 102306125 is about 467.6998297349.

Adding to 102306125 its reverse (521603201), we get a palindrome (623909326).

The spelling of 102306125 in words is "one hundred two million, three hundred six thousand, one hundred twenty-five".