86796810100 has 576 divisors, whose sum is σ = 264975040512. Its totient is φ = 23804928000.

The previous prime is 86796810091. The next prime is 86796810103. The reversal of 86796810100 is 101869768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86796810103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 257557132 + ... + 257557468.

It is an arithmetic number, because the mean of its divisors is an integer number (460026112).

Almost surely, 2^86796810100 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 86796810100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132487520256).

86796810100 is an abundant number, since it is smaller than the sum of its proper divisors (178178230412).

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

86796810100 is a wasteful number, since it uses less digits than its factorization.

86796810100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 86796810100 in words is "eighty-six billion, seven hundred ninety-six million, eight hundred ten thousand, one hundred".