82520100 has 144 divisors (see below), whose sum is σ = 285815040. Its totient is φ = 20304000.

The previous prime is 82520093. The next prime is 82520117. The reversal of 82520100 is 102528.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 33925 + ... + 36275.

Almost surely, 2^82520100 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 82520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142907520).

82520100 is an abundant number, since it is smaller than the sum of its proper divisors (203294940).

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

82520100 is a wasteful number, since it uses less digits than its factorization.

82520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 82520100 is about 9084.0574634906. The cubic root of 82520100 is about 435.3647357106.

Adding to 82520100 its reverse (102528), we get a palindrome (82622628).

The spelling of 82520100 in words is "eighty-two million, five hundred twenty thousand, one hundred".