10135125 has 160 divisors (see below), whose sum is σ = 25369344. Its totient is φ = 3888000.

The previous prime is 10135121. The next prime is 10135133. The reversal of 10135125 is 52153101.

10135125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10135125 - 2² = 10135121 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10135098 and 10135107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 779619 + ... + 779631.

Almost surely, 2^10135125 is an apocalyptic number.

10135125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10135125 is an abundant number, since it is smaller than the sum of its proper divisors (15234219).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10135125 is a wasteful number, since it uses less digits than its factorization.

10135125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10135125 is about 3183.5711080483. The cubic root of 10135125 is about 216.4095240005.

Adding to 10135125 its reverse (52153101), we get a palindrome (62288226).

The spelling of 10135125 in words is "ten million, one hundred thirty-five thousand, one hundred twenty-five".