82040100 has 144 divisors (see below), whose sum is σ = 257275200. Its totient is φ = 20113920.

The previous prime is 82040089. The next prime is 82040107. The reversal of 82040100 is 104028.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 82040100.

It is not an unprimeable number, because it can be changed into a prime (82040107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 210706 + ... + 211094.

Almost surely, 2^82040100 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 82040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128637600).

82040100 is an abundant number, since it is smaller than the sum of its proper divisors (175235100).

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

82040100 is a wasteful number, since it uses less digits than its factorization.

82040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 82040100 is about 9057.5990196078. The cubic root of 82040100 is about 434.5189556163.

Adding to 82040100 its reverse (104028), we get a palindrome (82144128).

The spelling of 82040100 in words is "eighty-two million, forty thousand, one hundred".