83100 has 36 divisors (see below), whose sum is σ = 241304. Its totient is φ = 22080.

The previous prime is 83093. The next prime is 83101. The reversal of 83100 is 138.

It is a super-2 number, since 2×83100² = 13811220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83100.

It is not an unprimeable number, because it can be changed into a prime (83101) by changing a digit.

83100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162 + ... + 438.

2⁸³¹⁰⁰ 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 83100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120652).

83100 is an abundant number, since it is smaller than the sum of its proper divisors (158204).

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

83100 is a wasteful number, since it uses less digits than its factorization.

83100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 83100 is about 288.2707061080. The cubic root of 83100 is about 43.6382180399.

Adding to 83100 its reverse (138), we get a palindrome (83238).

The spelling of 83100 in words is "eighty-three thousand, one hundred".