86506101 has 36 divisors (see below), whose sum is σ = 141311040. Its totient is φ = 50571360.

The previous prime is 86506099. The next prime is 86506109. The reversal of 86506101 is 10160568.

86506101 is a `hidden beast` number, since 8 + 650 + 6 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 86506101 - 2¹ = 86506099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86506109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82740 + ... + 83778.

Almost surely, 2^86506101 is an apocalyptic number.

It is an amenable number.

86506101 is a deficient number, since it is larger than the sum of its proper divisors (54804939).

86506101 is a wasteful number, since it uses less digits than its factorization.

86506101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 86506101 is about 9300.8656048779. The cubic root of 86506101 is about 442.2646685093.

Adding to 86506101 its reverse (10160568), we get a palindrome (96666669).

The spelling of 86506101 in words is "eighty-six million, five hundred six thousand, one hundred one".