6982859100 has 432 divisors, whose sum is σ = 24932737536. Its totient is φ = 1477440000.

The previous prime is 6982859083. The next prime is 6982859101. The reversal of 6982859100 is 19582896.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6982859100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6982859101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46244025 + ... + 46244175.

Almost surely, 2^6982859100 is an apocalyptic number.

6982859100 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 6982859100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12466368768).

6982859100 is an abundant number, since it is smaller than the sum of its proper divisors (17949878436).

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

6982859100 is a wasteful number, since it uses less digits than its factorization.

6982859100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 6982859100 is about 83563.5033971171. The cubic root of 6982859100 is about 1911.3685083748.

The spelling of 6982859100 in words is "six billion, nine hundred eighty-two million, eight hundred fifty-nine thousand, one hundred".