10125 has 20 divisors (see below), whose sum is σ = 18876. Its totient is φ = 5400.

The previous prime is 10111. The next prime is 10133. The reversal of 10125 is 52101.

Adding to 10125 its reverse (52101), we get a palindrome (62226).

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10125 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 324 + 9801 = 18^2 + 99^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=3, B=15.

It is not a de Polignac number, because 10125 - 2^{5} = 10093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between odd and even.

10125 is a lucky number.

It is a plaindrome in base 13 and base 16.

It is a nialpdrome in base 5 and base 15.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2023 + ... + 2027.

2^{10125} is an apocalyptic number.

10125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10125 is a deficient number, since it is larger than the sum of its proper divisors (8751).

10125 is an frugal number, since it uses more digits than its factorization.

10125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10125 is about 100.6230589875. The cubic root of 10125 is about 21.6337435546.

The spelling of 10125 in words is "ten thousand, one hundred twenty-five".

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