83312100 has 54 divisors (see below), whose sum is σ = 261139970. Its totient is φ = 22216320.

The previous prime is 83312083. The next prime is 83312107. The reversal of 83312100 is 121338.

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 83283876 = 168^2 + 9126^2 .

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 (83312107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45385 + ... + 47184.

Almost surely, 2^83312100 is an apocalyptic number.

It is an amenable number.

83312100 is an abundant number, since it is smaller than the sum of its proper divisors (177827870).

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

83312100 is a wasteful number, since it uses less digits than its factorization.

83312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92589 (or 92579 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 83312100 is about 9127.5462200966. The cubic root of 83312100 is about 436.7531311664.

Adding to 83312100 its reverse (121338), we get a palindrome (83433438).

The spelling of 83312100 in words is "eighty-three million, three hundred twelve thousand, one hundred".