6841808100 has 144 divisors (see below), whose sum is σ = 23289134400. Its totient is φ = 1717148160.

The previous prime is 6841808089. The next prime is 6841808123. The reversal of 6841808100 is 18081486.

It is a super-2 number, since 2×6841808100² = 93620676154451220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28630 + ... + 120429.

It is an arithmetic number, because the mean of its divisors is an integer number (161730100).

Almost surely, 2^6841808100 is an apocalyptic number.

6841808100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6841808100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11644567200).

6841808100 is an abundant number, since it is smaller than the sum of its proper divisors (16447326300).

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

6841808100 is a wasteful number, since it uses less digits than its factorization.

6841808100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149099 (or 149086 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 6841808100 is about 82715.2229036469. Note that the first 3 decimals coincide. The cubic root of 6841808100 is about 1898.4112388076.

Adding to 6841808100 its reverse (18081486), we get a palindrome (6859889586).

The spelling of 6841808100 in words is "six billion, eight hundred forty-one million, eight hundred eight thousand, one hundred".