101875 has 10 divisors (see below), whose sum is σ = 128084. Its totient is φ = 81000.

The previous prime is 101873. The next prime is 101879. The reversal of 101875 is 578101.

It is not a de Polignac number, because 101875 - 2¹ = 101873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 544 + ... + 706.

2¹⁰¹⁸⁷⁵ is an apocalyptic number.

101875 is a deficient number, since it is larger than the sum of its proper divisors (26209).

101875 is an frugal number, since it uses more digits than its factorization.

101875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 101875 is about 319.1786333701. The cubic root of 101875 is about 46.7041931714.

Adding to 101875 its reverse (578101), we get a palindrome (679976).

The spelling of 101875 in words is "one hundred one thousand, eight hundred seventy-five".