86320100 has 36 divisors (see below), whose sum is σ = 188248368. Its totient is φ = 34356000.

The previous prime is 86320099. The next prime is 86320103. The reversal of 86320100 is 102368.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (86320103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19055 + ... + 23145.

Almost surely, 2^86320100 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 86320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94124184).

86320100 is an abundant number, since it is smaller than the sum of its proper divisors (101928268).

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

86320100 is a wasteful number, since it uses less digits than its factorization.

86320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 86320100 is about 9290.8611011036. The cubic root of 86320100 is about 441.9474627536.

Adding to 86320100 its reverse (102368), we get a palindrome (86422468).

The spelling of 86320100 in words is "eighty-six million, three hundred twenty thousand, one hundred".