10125124 has 27 divisors (see below), whose sum is σ = 18644157. Its totient is φ = 4811184.

The previous prime is 10125109. The next prime is 10125131. The reversal of 10125124 is 42152101.

The square root of 10125124 is 3182.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9060100 + 1065024 = 3010^2 + 1032^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10125098 and 10125107.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 235447 + ... + 235489.

Almost surely, 2^10125124 is an apocalyptic number.

10125124 is the 3182-nd square number.

It is an amenable number.

10125124 is a deficient number, since it is larger than the sum of its proper divisors (8519033).

10125124 is an equidigital number, since it uses as much as digits as its factorization.

10125124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The cubic root of 10125124 is about 216.3383186978.

Multiplying 10125124 by its sum of digits (16), we get a square (162001984 = 12728²).

Adding to 10125124 its reverse (42152101), we get a palindrome (52277225).

The spelling of 10125124 in words is "ten million, one hundred twenty-five thousand, one hundred twenty-four".