101959 has 16 divisors (see below), whose sum is σ = 129024. Its totient is φ = 79200.

The previous prime is 101957. The next prime is 101963. The reversal of 101959 is 959101.

It is not a de Polignac number, because 101959 - 2¹ = 101957 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3274 + ... + 3304.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2¹⁰¹⁹⁵⁹ is an apocalyptic number.

101959 is a deficient number, since it is larger than the sum of its proper divisors (27065).

101959 is a wasteful number, since it uses less digits than its factorization.

101959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78.

The product of its (nonzero) digits is 405, while the sum is 25.

The square root of 101959 is about 319.3101940120. The cubic root of 101959 is about 46.7170261348.

The spelling of 101959 in words is "one hundred one thousand, nine hundred fifty-nine".