6812100 has 135 divisors (see below), whose sum is σ = 22869847. Its totient is φ = 1753920.

The previous prime is 6812077. The next prime is 6812161. The reversal of 6812100 is 12186.

The square root of 6812100 is 2610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 93636 + 6718464 = 306^2 + 2592^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 234886 + ... + 234914.

Almost surely, 2^6812100 is an apocalyptic number.

6812100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6812100 is the 2610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6812100

6812100 is an abundant number, since it is smaller than the sum of its proper divisors (16057747).

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

6812100 is a wasteful number, since it uses less digits than its factorization.

6812100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The cubic root of 6812100 is about 189.5659528673.

Adding to 6812100 its reverse (12186), we get a palindrome (6824286).

The spelling of 6812100 in words is "six million, eight hundred twelve thousand, one hundred".