101975 has 6 divisors (see below), whose sum is σ = 126480. Its totient is φ = 81560.

The previous prime is 101963. The next prime is 101977. The reversal of 101975 is 579101.

It is not a de Polignac number, because 101975 - 2⁸ = 101719 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101977) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2015 + ... + 2064.

It is an arithmetic number, because the mean of its divisors is an integer number (21080).

2¹⁰¹⁹⁷⁵ is an apocalyptic number.

101975 is a deficient number, since it is larger than the sum of its proper divisors (24505).

101975 is an equidigital number, since it uses as much as digits as its factorization.

101975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 23.

The square root of 101975 is about 319.3352470367. The cubic root of 101975 is about 46.7194697096.

The spelling of 101975 in words is "one hundred one thousand, nine hundred seventy-five".