86218100 has 18 divisors (see below), whose sum is σ = 187093494. Its totient is φ = 34487200.

The previous prime is 86218081. The next prime is 86218117. The reversal of 86218100 is 181268.

It can be written as a sum of positive squares in 3 ways, for example, as 6330256 + 79887844 = 2516^2 + 8938^2 .

It is a super-2 number, since 2×86218100² = 14867121535220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86218100.

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 5 ways as a sum of consecutive naturals, for example, 430991 + ... + 431190.

It is an arithmetic number, because the mean of its divisors is an integer number (10394083).

Almost surely, 2^86218100 is an apocalyptic number.

It is an amenable number.

86218100 is an abundant number, since it is smaller than the sum of its proper divisors (100875394).

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

86218100 is a wasteful number, since it uses less digits than its factorization.

86218100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862195 (or 862188 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 86218100 is about 9285.3702134056. The cubic root of 86218100 is about 441.7733186529.

Adding to 86218100 its reverse (181268), we get a palindrome (86399368).

The spelling of 86218100 in words is "eighty-six million, two hundred eighteen thousand, one hundred".