82381100 has 36 divisors (see below), whose sum is σ = 179873904. Its totient is φ = 32748480.

The previous prime is 82381097. The next prime is 82381109. The reversal of 82381100 is 118328.

It is not an unprimeable number, because it can be changed into a prime (82381109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14234 + ... + 19166.

Almost surely, 2^82381100 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 82381100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89936952).

82381100 is an abundant number, since it is smaller than the sum of its proper divisors (97492804).

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

82381100 is a wasteful number, since it uses less digits than its factorization.

82381100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 82381100 is about 9076.4034727418. The cubic root of 82381100 is about 435.1201500141.

Adding to 82381100 its reverse (118328), we get a palindrome (82499428).

The spelling of 82381100 in words is "eighty-two million, three hundred eighty-one thousand, one hundred".