86100 has 72 divisors (see below), whose sum is σ = 291648. Its totient is φ = 19200.

The previous prime is 86083. The next prime is 86111. The reversal of 86100 is 168.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 86100.

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 86100.

It is an unprimeable number.

86100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2080 + ... + 2120.

2⁸⁶¹⁰⁰ 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 86100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824).

86100 is an abundant number, since it is smaller than the sum of its proper divisors (205548).

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

86100 is a wasteful number, since it uses less digits than its factorization.

86100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 86100 is about 293.4280150224. The cubic root of 86100 is about 44.1571515438.

Adding to 86100 its reverse (168), we get a palindrome (86268).

The spelling of 86100 in words is "eighty-six thousand, one hundred".