85535100 has 108 divisors (see below), whose sum is σ = 306428304. Its totient is φ = 19549440.

The previous prime is 85535071. The next prime is 85535111. The reversal of 85535100 is 153558.

85535100 is a `hidden beast` number, since 8 + 553 + 5 + 100 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489 + ... + 13088.

Almost surely, 2^85535100 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 85535100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153214152).

85535100 is an abundant number, since it is smaller than the sum of its proper divisors (220893204).

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

85535100 is a wasteful number, since it uses less digits than its factorization.

85535100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13604 (or 13594 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 85535100 is about 9248.5188003269. The cubic root of 85535100 is about 440.6036823850.

Adding to 85535100 its reverse (153558), we get a palindrome (85688658).

The spelling of 85535100 in words is "eighty-five million, five hundred thirty-five thousand, one hundred".