86102100 has 216 divisors, whose sum is σ = 314146560. Its totient is φ = 19319040.

The previous prime is 86102099. The next prime is 86102111. The reversal of 86102100 is 120168.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 497614 + ... + 497786.

Almost surely, 2^86102100 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 86102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157073280).

86102100 is an abundant number, since it is smaller than the sum of its proper divisors (228044460).

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

86102100 is a wasteful number, since it uses less digits than its factorization.

86102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 86102100 is about 9279.1217256807. The cubic root of 86102100 is about 441.5751054216.

Adding to 86102100 its reverse (120168), we get a palindrome (86222268).

The spelling of 86102100 in words is "eighty-six million, one hundred two thousand, one hundred".