86291100 has 108 divisors (see below), whose sum is σ = 309136464. Its totient is φ = 19722240.

The previous prime is 86291087. The next prime is 86291119. The reversal of 86291100 is 119268.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 549 + ... + 13148.

Almost surely, 2^86291100 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 86291100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154568232).

86291100 is an abundant number, since it is smaller than the sum of its proper divisors (222845364).

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

86291100 is a wasteful number, since it uses less digits than its factorization.

86291100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13724 (or 13714 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 86291100 is about 9289.3002965778. The cubic root of 86291100 is about 441.8979651589.

The spelling of 86291100 in words is "eighty-six million, two hundred ninety-one thousand, one hundred".