85845100 has 36 divisors (see below), whose sum is σ = 203221368. Its totient is φ = 31216000.

The previous prime is 85845079. The next prime is 85845101. The reversal of 85845100 is 154858.

It is not an unprimeable number, because it can be changed into a prime (85845101) 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, 37921 + ... + 40120.

It is an arithmetic number, because the mean of its divisors is an integer number (5645038).

Almost surely, 2^85845100 is an apocalyptic number.

It is an amenable number.

85845100 is an abundant number, since it is smaller than the sum of its proper divisors (117376268).

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

85845100 is a wasteful number, since it uses less digits than its factorization.

85845100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78066 (or 78059 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 85845100 is about 9265.2630831510. The cubic root of 85845100 is about 441.1353255920.

Adding to 85845100 its reverse (154858), we get a palindrome (85999958).

The spelling of 85845100 in words is "eighty-five million, eight hundred forty-five thousand, one hundred".