85100 has 36 divisors (see below), whose sum is σ = 197904. Its totient is φ = 31680.

The previous prime is 85093. The next prime is 85103. The reversal of 85100 is 158.

85100 = T₁₁ + T₁₂ + ... + T₇₉.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (85103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2282 + ... + 2318.

2⁸⁵¹⁰⁰ 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 85100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98952).

85100 is an abundant number, since it is smaller than the sum of its proper divisors (112804).

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

85100 is a wasteful number, since it uses less digits than its factorization.

85100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 85100 is about 291.7190429163. The cubic root of 85100 is about 43.9855324335.

Adding to 85100 its reverse (158), we get a palindrome (85258).

The spelling of 85100 in words is "eighty-five thousand, one hundred".