101686091689 has 12 divisors (see below), whose sum is σ = 127386972804. Its totient is φ = 80454929184.

The previous prime is 101686091669. The next prime is 101686091693. The reversal of 101686091689 is 986190686101.

It can be written as a sum of positive squares in 2 ways, for example, as 60647435289 + 41038656400 = 246267^2 + 202580^2 .

It is not a de Polignac number, because 101686091689 - 2¹⁵ = 101686058921 is a prime.

It is a super-2 number, since 2×101686091689² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101686091629) 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, 79815762 + ... + 79817035.

It is an arithmetic number, because the mean of its divisors is an integer number (10615581067).

Almost surely, 2^101686091689 is an apocalyptic number.

It is an amenable number.

101686091689 is a deficient number, since it is larger than the sum of its proper divisors (25700881115).

101686091689 is a wasteful number, since it uses less digits than its factorization.

101686091689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159632824 (or 159632817 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 55.

The spelling of 101686091689 in words is "one hundred one billion, six hundred eighty-six million, ninety-one thousand, six hundred eighty-nine".