85100100 has 72 divisors (see below), whose sum is σ = 247255008. Its totient is φ = 22598400.

The previous prime is 85100087. The next prime is 85100101. The reversal of 85100100 is 100158.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85100100.

It is not an unprimeable number, because it can be changed into a prime (85100101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98872 + ... + 99728.

Almost surely, 2^85100100 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 85100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123627504).

85100100 is an abundant number, since it is smaller than the sum of its proper divisors (162154908).

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

85100100 is a wasteful number, since it uses less digits than its factorization.

85100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 85100100 is about 9224.9715446716. The cubic root of 85100100 is about 439.8554966250.

Adding to 85100100 its reverse (100158), we get a palindrome (85200258).

The spelling of 85100100 in words is "eighty-five million, one hundred thousand, one hundred".