101125 has 8 divisors (see below), whose sum is σ = 126360. Its totient is φ = 80800.

The previous prime is 101119. The next prime is 101141. The reversal of 101125 is 521101.

It is a happy number.

It is a Cunningham number, because it is equal to 318²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 101124 = 1^2 + 318^2 .

It is not a de Polignac number, because 101125 - 2³ = 101117 is a prime.

It is a super-3 number, since 3×101125³ = 3102393333984375, which contains 333 as substring.

101125 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 529.

It is an arithmetic number, because the mean of its divisors is an integer number (15795).

2¹⁰¹¹²⁵ is an apocalyptic number.

It is an amenable number.

101125 is a deficient number, since it is larger than the sum of its proper divisors (25235).

101125 is an frugal number, since it uses more digits than its factorization.

101125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 814 counting only the distinct ones).

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

The square root of 101125 is about 318.0015723232. The cubic root of 101125 is about 46.5892992431.

Adding to 101125 its reverse (521101), we get a palindrome (622226).

The spelling of 101125 in words is "one hundred one thousand, one hundred twenty-five".