86385100 has 18 divisors (see below), whose sum is σ = 187455884. Its totient is φ = 34554000.

The previous prime is 86385097. The next prime is 86385119. The reversal of 86385100 is 158368.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 431826 + ... + 432025.

Almost surely, 2^86385100 is an apocalyptic number.

It is an amenable number.

86385100 is an abundant number, since it is smaller than the sum of its proper divisors (101070784).

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

86385100 is a wasteful number, since it uses less digits than its factorization.

86385100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863865 (or 863858 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 86385100 is about 9294.3585039528. The cubic root of 86385100 is about 442.0583653808.

The spelling of 86385100 in words is "eighty-six million, three hundred eighty-five thousand, one hundred".