101591 has 8 divisors (see below), whose sum is σ = 121344. Its totient is φ = 83160.

The previous prime is 101581. The next prime is 101599. The reversal of 101591 is 195101.

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 101591 - 2⁶ = 101527 is a prime.

It is a Duffinian 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, 155 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (15168).

2¹⁰¹⁵⁹¹ is an apocalyptic number.

101591 is a deficient number, since it is larger than the sum of its proper divisors (19753).

101591 is an equidigital number, since it uses as much as digits as its factorization.

101591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661.

The product of its (nonzero) digits is 45, while the sum is 17.

The square root of 101591 is about 318.7334309419. The cubic root of 101591 is about 46.6607532190.

Adding to 101591 its reverse (195101), we get a palindrome (296692).

The spelling of 101591 in words is "one hundred one thousand, five hundred ninety-one".