85360100 has 72 divisors (see below), whose sum is σ = 213111360. Its totient is φ = 29070720.

The previous prime is 85360091. The next prime is 85360123. The reversal of 85360100 is 106358.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137591 + ... + 138209.

It is an arithmetic number, because the mean of its divisors is an integer number (2959880).

Almost surely, 2^85360100 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 85360100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

85360100 is an abundant number, since it is smaller than the sum of its proper divisors (127751260).

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

85360100 is a wasteful number, since it uses less digits than its factorization.

85360100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 85360100 is about 9239.0529817725. The cubic root of 85360100 is about 440.3029937832.

Adding to 85360100 its reverse (106358), we get a palindrome (85466458).

The spelling of 85360100 in words is "eighty-five million, three hundred sixty thousand, one hundred".