85105800 has 144 divisors (see below), whose sum is σ = 307883940. Its totient is φ = 20943360.

The previous prime is 85105799. The next prime is 85105841. The reversal of 85105800 is 850158.

85105800 is a `hidden beast` number, since 85 + 1 + 0 + 580 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1602756 + 83503044 = 1266^2 + 9138^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21582 + ... + 25218.

Almost surely, 2^85105800 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 85105800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153941970).

85105800 is an abundant number, since it is smaller than the sum of its proper divisors (222778140).

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

85105800 is a wasteful number, since it uses less digits than its factorization.

85105800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 85105800 is about 9225.2804835409. The cubic root of 85105800 is about 439.8653169047.

Adding to 85105800 its reverse (850158), we get a palindrome (85955958).

It can be divided in two parts, 85105 and 800, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 85105800 in words is "eighty-five million, one hundred five thousand, eight hundred".