101587 has 8 divisors (see below), whose sum is σ = 109440. Its totient is φ = 94080.

The previous prime is 101581. The next prime is 101599. The reversal of 101587 is 785101.

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

It is a cyclic number.

It is not a de Polignac number, because 101587 - 2¹⁵ = 68819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101581) 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, 843 + ... + 955.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2¹⁰¹⁵⁸⁷ is an apocalyptic number.

101587 is a deficient number, since it is larger than the sum of its proper divisors (7853).

101587 is a wasteful number, since it uses less digits than its factorization.

101587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173.

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

The square root of 101587 is about 318.7271560442. The cubic root of 101587 is about 46.6601408108.

Adding to 101587 its reverse (785101), we get a palindrome (886688).

The spelling of 101587 in words is "one hundred one thousand, five hundred eighty-seven".