107821 has 8 divisors (see below), whose sum is σ = 125504. Its totient is φ = 90720.

The previous prime is 107791. The next prime is 107827. The reversal of 107821 is 128701.

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

It is not a de Polignac number, because 107821 - 2⁷ = 107693 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 (107827) 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, 406 + ... + 616.

It is an arithmetic number, because the mean of its divisors is an integer number (15688).

2¹⁰⁷⁸²¹ is an apocalyptic number.

It is an amenable number.

107821 is a deficient number, since it is larger than the sum of its proper divisors (17683).

107821 is an equidigital number, since it uses as much as digits as its factorization.

107821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 107821 is about 328.3610817378. The cubic root of 107821 is about 47.5957073077.

It can be divided in two parts, 10 and 7821, that multiplied together give a triangular number (78210 = T₃₉₅).

The spelling of 107821 in words is "one hundred seven thousand, eight hundred twenty-one".