102180125 has 16 divisors (see below), whose sum is σ = 130973232. Its totient is φ = 79531200.

The previous prime is 102180121. The next prime is 102180139. The reversal of 102180125 is 521081201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1819801 + 100360324 = 1349^2 + 10018^2 .

It is not a de Polignac number, because 102180125 - 2² = 102180121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102180097 and 102180106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102180121) 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 15 ways as a sum of consecutive naturals, for example, 6422 + ... + 15671.

It is an arithmetic number, because the mean of its divisors is an integer number (8185827).

Almost surely, 2^102180125 is an apocalyptic number.

It is an amenable number.

102180125 is a deficient number, since it is larger than the sum of its proper divisors (28793107).

102180125 is an equidigital number, since it uses as much as digits as its factorization.

102180125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22145 (or 22135 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 102180125 is about 10108.4185212129. The cubic root of 102180125 is about 467.5077448268.

The spelling of 102180125 in words is "one hundred two million, one hundred eighty thousand, one hundred twenty-five".