86634700101 has 12 divisors (see below), whose sum is σ = 125143471180. Its totient is φ = 57754408320.

The previous prime is 86634700091. The next prime is 86634700109. The reversal of 86634700101 is 10100743668.

86634700101 is a `hidden beast` number, since 8 + 6 + 634 + 7 + 0 + 0 + 10 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66745239201 + 19889460900 = 258351^2 + 141030^2 .

It is not a de Polignac number, because 86634700101 - 2⁵ = 86634700069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86634700109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121341 + ... + 433581.

Almost surely, 2^86634700101 is an apocalyptic number.

It is an amenable number.

86634700101 is a deficient number, since it is larger than the sum of its proper divisors (38508771079).

86634700101 is a wasteful number, since it uses less digits than its factorization.

86634700101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343076 (or 343073 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 86634700101 in words is "eighty-six billion, six hundred thirty-four million, seven hundred thousand, one hundred one".