83138100 has 72 divisors (see below), whose sum is σ = 251025600. Its totient is φ = 21204480.

The previous prime is 83138087. The next prime is 83138101. The reversal of 83138100 is 183138.

It is a super-2 number, since 2×83138100² = 13823887343220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83138101) 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 23 ways as a sum of consecutive naturals, for example, 876 + ... + 12924.

Almost surely, 2^83138100 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 83138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125512800).

83138100 is an abundant number, since it is smaller than the sum of its proper divisors (167887500).

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

83138100 is a wasteful number, since it uses less digits than its factorization.

83138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12089 (or 12082 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 83138100 is about 9118.0096512342. The cubic root of 83138100 is about 436.4488615892.

It can be divided in two parts, 83138 and 100, that added together give a palindrome (83238).

The spelling of 83138100 in words is "eighty-three million, one hundred thirty-eight thousand, one hundred".