100806 has 16 divisors (see below), whose sum is σ = 206064. Its totient is φ = 32864.

The previous prime is 100801. The next prime is 100811. The reversal of 100806 is 608001.

100806 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (100801) and next prime (100811).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100801) by changing a digit.

100806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (12879).

2¹⁰⁰⁸⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 317×318.

100806 is an abundant number, since it is smaller than the sum of its proper divisors (105258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100806 is a wasteful number, since it uses less digits than its factorization.

100806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100806 is about 317.4996062990. The cubic root of 100806 is about 46.5402588102.

Adding to 100806 its reverse (608001), we get a palindrome (708807).

The spelling of 100806 in words is "one hundred thousand, eight hundred six".