86197100 has 72 divisors (see below), whose sum is σ = 212986368. Its totient is φ = 29972800.

The previous prime is 86197093. The next prime is 86197103. The reversal of 86197100 is 179168.

It is not an unprimeable number, because it can be changed into a prime (86197103) 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, 23597 + ... + 27003.

It is an arithmetic number, because the mean of its divisors is an integer number (2958144).

Almost surely, 2^86197100 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 86197100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106493184).

86197100 is an abundant number, since it is smaller than the sum of its proper divisors (126789268).

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

86197100 is a wasteful number, since it uses less digits than its factorization.

86197100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 86197100 is about 9284.2393334080. The cubic root of 86197100 is about 441.7374484083.

The spelling of 86197100 in words is "eighty-six million, one hundred ninety-seven thousand, one hundred".