86872100 has 54 divisors (see below), whose sum is σ = 219302370. Its totient is φ = 29783040.

The previous prime is 86872069. The next prime is 86872109. The reversal of 86872100 is 127868.

It can be written as a sum of positive squares in 3 ways, for example, as 9572836 + 77299264 = 3094^2 + 8792^2 .

It is not an unprimeable number, because it can be changed into a prime (86872109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3965 + ... + 13764.

It is an arithmetic number, because the mean of its divisors is an integer number (4061155).

Almost surely, 2^86872100 is an apocalyptic number.

It is an amenable number.

86872100 is an abundant number, since it is smaller than the sum of its proper divisors (132430270).

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

86872100 is a wasteful number, since it uses less digits than its factorization.

86872100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17757 (or 17743 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 86872100 is about 9320.5203717389. The cubic root of 86872100 is about 442.8875173656.

Adding to 86872100 its reverse (127868), we get a palindrome (86999968).

The spelling of 86872100 in words is "eighty-six million, eight hundred seventy-two thousand, one hundred".