82106800 has 30 divisors (see below), whose sum is σ = 197262548. Its totient is φ = 32842560.

The previous prime is 82106779. The next prime is 82106831. The reversal of 82106800 is 860128.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 102234 + ... + 103033.

Almost surely, 2^82106800 is an apocalyptic number.

82106800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82106800 is an abundant number, since it is smaller than the sum of its proper divisors (115155748).

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

82106800 is a wasteful number, since it uses less digits than its factorization.

82106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205285 (or 205274 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 82106800 is about 9061.2802627443. The cubic root of 82106800 is about 434.6366808242.

Adding to 82106800 its reverse (860128), we get a palindrome (82966928).

The spelling of 82106800 in words is "eighty-two million, one hundred six thousand, eight hundred".