82016100 has 54 divisors (see below), whose sum is σ = 257077730. Its totient is φ = 21870720.

The previous prime is 82016083. The next prime is 82016101. The reversal of 82016100 is 161028.

It can be written as a sum of positive squares in 3 ways, for example, as 4435236 + 77580864 = 2106^2 + 8808^2 .

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

It is not an unprimeable number, because it can be changed into a prime (82016101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44665 + ... + 46464.

Almost surely, 2^82016100 is an apocalyptic number.

It is an amenable number.

82016100 is an abundant number, since it is smaller than the sum of its proper divisors (175061630).

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

82016100 is a wasteful number, since it uses less digits than its factorization.

82016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91149 (or 91139 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 82016100 is about 9056.2740682910. The cubic root of 82016100 is about 434.4765801113.

Adding to 82016100 its reverse (161028), we get a palindrome (82177128).

The spelling of 82016100 in words is "eighty-two million, sixteen thousand, one hundred".