100789 has 4 divisors (see below), whose sum is σ = 108556. Its totient is φ = 93024.

The previous prime is 100787. The next prime is 100799. The reversal of 100789 is 987001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 987001 = 461 ⋅2141.

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 34225 = 258^2 + 185^2 .

It is a cyclic number.

It is not a de Polignac number, because 100789 - 2¹ = 100787 is a prime.

It is a Duffinian number.

100789 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100787) 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, 3864 + ... + 3889.

It is an arithmetic number, because the mean of its divisors is an integer number (27139).

2¹⁰⁰⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

100789 is a deficient number, since it is larger than the sum of its proper divisors (7767).

100789 is an equidigital number, since it uses as much as digits as its factorization.

100789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 100789 is about 317.4728334834. The cubic root of 100789 is about 46.5376424683.

The spelling of 100789 in words is "one hundred thousand, seven hundred eighty-nine".