85220100 has 252 divisors, whose sum is σ = 318771264. Its totient is φ = 19362240.

The previous prime is 85220087. The next prime is 85220101. The reversal of 85220100 is 102258.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85220101) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 510217 + ... + 510383.

Almost surely, 2^85220100 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 85220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159385632).

85220100 is an abundant number, since it is smaller than the sum of its proper divisors (233551164).

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

85220100 is a wasteful number, since it uses less digits than its factorization.

85220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 85220100 is about 9231.4733385305. The cubic root of 85220100 is about 440.0621468692.

Adding to 85220100 its reverse (102258), we get a palindrome (85322358).

The spelling of 85220100 in words is "eighty-five million, two hundred twenty thousand, one hundred".