10180125 has 24 divisors (see below), whose sum is σ = 18353400. Its totient is φ = 5428800.

The previous prime is 10180123. The next prime is 10180129. The reversal of 10180125 is 52108101.

It can be written as a sum of positive squares in 4 ways, for example, as 10404 + 10169721 = 102^2 + 3189^2 .

It is not a de Polignac number, because 10180125 - 2¹ = 10180123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10180098 and 10180107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10180123) 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 23 ways as a sum of consecutive naturals, for example, 3400 + ... + 5649.

It is an arithmetic number, because the mean of its divisors is an integer number (764725).

Almost surely, 2^10180125 is an apocalyptic number.

10180125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10180125 is a deficient number, since it is larger than the sum of its proper divisors (8173275).

10180125 is an equidigital number, since it uses as much as digits as its factorization.

10180125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9070 (or 9057 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 10180125 is about 3190.6308153718. The cubic root of 10180125 is about 216.7293375577.

Adding to 10180125 its reverse (52108101), we get a palindrome (62288226).

The spelling of 10180125 in words is "ten million, one hundred eighty thousand, one hundred twenty-five".