101087 has 6 divisors (see below), whose sum is σ = 117648. Its totient is φ = 86604.

The previous prime is 101081. The next prime is 101089. The reversal of 101087 is 780101.

It is a de Polignac number, because none of the positive numbers 2^k-101087 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

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 101087.

It is not an unprimeable number, because it can be changed into a prime (101081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 983 + ... + 1080.

It is an arithmetic number, because the mean of its divisors is an integer number (19608).

2¹⁰¹⁰⁸⁷ is an apocalyptic number.

101087 is a deficient number, since it is larger than the sum of its proper divisors (16561).

101087 is an equidigital number, since it uses as much as digits as its factorization.

101087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 101087 is about 317.9418185769. The cubic root of 101087 is about 46.5834628520.

Adding to 101087 its reverse (780101), we get a palindrome (881188).

It can be divided in two parts, 10108 and 7, that multiplied together give a square (70756 = 266²).

The spelling of 101087 in words is "one hundred one thousand, eighty-seven".