816100 has 18 divisors (see below), whose sum is σ = 1771154. Its totient is φ = 326400.

The previous prime is 816091. The next prime is 816103. The reversal of 816100 is 1618.

It can be written as a sum of positive squares in 3 ways, for example, as 27556 + 788544 = 166^2 + 888^2 .

It is not an unprimeable number, because it can be changed into a prime (816103) by changing a digit.

816100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 3981 + ... + 4180.

2⁸¹⁶¹⁰⁰ is an apocalyptic number.

It is an amenable number.

816100 is an abundant number, since it is smaller than the sum of its proper divisors (955054).

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

816100 is a wasteful number, since it uses less digits than its factorization.

816100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8175 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 816100 is about 903.3825324855. The cubic root of 816100 is about 93.4503916732.

Adding to 816100 its reverse (1618), we get a palindrome (817718).

The spelling of 816100 in words is "eight hundred sixteen thousand, one hundred".