85481100 has 216 divisors, whose sum is σ = 293293728. Its totient is φ = 20736000.

The previous prime is 85481093. The next prime is 85481107. The reversal of 85481100 is 118458.

85481100 = 276³ + 277³ + ... + 279³.

85481100 is a `hidden beast` number, since 8 + 548 + 110 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85481093) and next prime (85481107).

It is not an unprimeable number, because it can be changed into a prime (85481107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 566025 + ... + 566175.

Almost surely, 2^85481100 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 85481100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146646864).

85481100 is an abundant number, since it is smaller than the sum of its proper divisors (207812628).

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

85481100 is a wasteful number, since it uses less digits than its factorization.

85481100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 85481100 is about 9245.5989530154. The cubic root of 85481100 is about 440.5109422603.

Adding to 85481100 its reverse (118458), we get a palindrome (85599558).

The spelling of 85481100 in words is "eighty-five million, four hundred eighty-one thousand, one hundred".