82341800100 has 864 divisors, whose sum is σ = 336848440320. Its totient is φ = 17127936000.

The previous prime is 82341800081. The next prime is 82341800111. The reversal of 82341800100 is 100814328.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 69721510 + ... + 69722690.

It is an arithmetic number, because the mean of its divisors is an integer number (389870880).

Almost surely, 2^82341800100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82341800100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168424220160).

82341800100 is an abundant number, since it is smaller than the sum of its proper divisors (254506640220).

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

82341800100 is a wasteful number, since it uses less digits than its factorization.

82341800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 82341800100 in words is "eighty-two billion, three hundred forty-one million, eight hundred thousand, one hundred".