86305100 has 72 divisors (see below), whose sum is σ = 215819520. Its totient is φ = 29344320.

The previous prime is 86305097. The next prime is 86305103. The reversal of 86305100 is 150368.

It is an interprime number because it is at equal distance from previous prime (86305097) and next prime (86305103).

It is not an unprimeable number, because it can be changed into a prime (86305103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96857 + ... + 97743.

Almost surely, 2^86305100 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 86305100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107909760).

86305100 is an abundant number, since it is smaller than the sum of its proper divisors (129514420).

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

86305100 is a wasteful number, since it uses less digits than its factorization.

86305100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 86305100 is about 9290.0538211573. The cubic root of 86305100 is about 441.9218619338.

Adding to 86305100 its reverse (150368), we get a palindrome (86455468).

The spelling of 86305100 in words is "eighty-six million, three hundred five thousand, one hundred".