107829 has 6 divisors (see below), whose sum is σ = 155766. Its totient is φ = 71880.

The previous prime is 107827. The next prime is 107837. The reversal of 107829 is 928701.

It can be written as a sum of positive squares in only one way, i.e., 106929 + 900 = 327^2 + 30^2 .

It is not a de Polignac number, because 107829 - 2¹ = 107827 is a prime.

It is a Curzon 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 5 ways as a sum of consecutive naturals, for example, 5982 + ... + 5999.

It is an arithmetic number, because the mean of its divisors is an integer number (25961).

2¹⁰⁷⁸²⁹ is an apocalyptic number.

It is an amenable number.

107829 is a deficient number, since it is larger than the sum of its proper divisors (47937).

107829 is a wasteful number, since it uses less digits than its factorization.

107829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11987 (or 11984 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 107829 is about 328.3732632234. The cubic root of 107829 is about 47.5968844323.

The spelling of 107829 in words is "one hundred seven thousand, eight hundred twenty-nine".