105125 has 12 divisors (see below), whose sum is σ = 135876. Its totient is φ = 81200.

The previous prime is 105107. The next prime is 105137. The reversal of 105125 is 521501.

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.

105125 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 6 ways, for example, as 31684 + 73441 = 178^2 + 271^2 .

It is not a de Polignac number, because 105125 - 2⁸ = 104869 is a prime.

It is a super-2 number, since 2×105125² = 22102531250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105125.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3611 + ... + 3639.

It is an arithmetic number, because the mean of its divisors is an integer number (11323).

2¹⁰⁵¹²⁵ is an apocalyptic number.

It is an amenable number.

105125 is a deficient number, since it is larger than the sum of its proper divisors (30751).

105125 is an frugal number, since it uses more digits than its factorization.

105125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 105125 is about 324.2298567375. The cubic root of 105125 is about 47.1956533870.

Subtracting from 105125 its sum of digits (14), we obtain a triangular number (105111 = T₄₅₈).

Adding to 105125 its reverse (521501), we get a palindrome (626626).

The spelling of 105125 in words is "one hundred five thousand, one hundred twenty-five".