86188100 has 18 divisors (see below), whose sum is σ = 187028394. Its totient is φ = 34475200.

The previous prime is 86188073. The next prime is 86188111. The reversal of 86188100 is 188168.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 662596 + 85525504 = 814^2 + 9248^2 .

It is a super-2 number, since 2×86188100² = 14856777163220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 430841 + ... + 431040.

Almost surely, 2^86188100 is an apocalyptic number.

It is an amenable number.

86188100 is an abundant number, since it is smaller than the sum of its proper divisors (100840294).

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

86188100 is a wasteful number, since it uses less digits than its factorization.

86188100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861895 (or 861888 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The square root of 86188100 is about 9283.7546283818. The cubic root of 86188100 is about 441.7220736628.

The spelling of 86188100 in words is "eighty-six million, one hundred eighty-eight thousand, one hundred".