101559 has 8 divisors (see below), whose sum is σ = 137200. Its totient is φ = 66816.

The previous prime is 101537. The next prime is 101561. The reversal of 101559 is 955101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101559 - 2⁵ = 101527 is a prime.

It is a Duffinian number.

101559 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101599) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (17150).

2¹⁰¹⁵⁵⁹ is an apocalyptic number.

101559 is a deficient number, since it is larger than the sum of its proper divisors (35641).

101559 is an equidigital number, since it uses as much as digits as its factorization.

101559 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449.

The product of its (nonzero) digits is 225, while the sum is 21.

The square root of 101559 is about 318.6832283005. The cubic root of 101559 is about 46.6558535037.

The spelling of 101559 in words is "one hundred one thousand, five hundred fifty-nine".