101687 has 4 divisors (see below), whose sum is σ = 103416. Its totient is φ = 99960.

The previous prime is 101681. The next prime is 101693. The reversal of 101687 is 786101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 786101 = 227 ⋅3463.

It is an interprime number because it is at equal distance from previous prime (101681) and next prime (101693).

It is a cyclic number.

It is not a de Polignac number, because 101687 - 2¹⁴ = 85303 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101687.

It is not an unprimeable number, because it can be changed into a prime (101681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 773 + ... + 894.

It is an arithmetic number, because the mean of its divisors is an integer number (25854).

2¹⁰¹⁶⁸⁷ is an apocalyptic number.

101687 is a deficient number, since it is larger than the sum of its proper divisors (1729).

101687 is an equidigital number, since it uses as much as digits as its factorization.

101687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 101687 is about 318.8839914452. The cubic root of 101687 is about 46.6754461940.

Adding to 101687 its reverse (786101), we get a palindrome (887788).

The spelling of 101687 in words is "one hundred one thousand, six hundred eighty-seven".