109687 has 8 divisors (see below), whose sum is σ = 120960. Its totient is φ = 99000.

The previous prime is 109673. The next prime is 109717. The reversal of 109687 is 786901.

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 109687 - 2¹⁵ = 76919 is a prime.

It is a Duffinian number.

109687 is a lucky number.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109387) 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 7 ways as a sum of consecutive naturals, for example, 312 + ... + 562.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2¹⁰⁹⁶⁸⁷ is an apocalyptic number.

109687 is a deficient number, since it is larger than the sum of its proper divisors (11273).

109687 is a wasteful number, since it uses less digits than its factorization.

109687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 109687 is about 331.1902776351. The cubic root of 109687 is about 47.8687095062.

The spelling of 109687 in words is "one hundred nine thousand, six hundred eighty-seven".