106687810161 has 9 divisors (see below), whose sum is σ = 154106030091. Its totient is φ = 71124553512.

The previous prime is 106687810147. The next prime is 106687810213. The reversal of 106687810161 is 161018786601.

The square root of 106687810161 is 326631.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 96736550625 + 9951259536 = 311025^2 + 99756^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 106687810161 - 2³⁵ = 72328071793 is a prime.

It is a super-2 number, since 2×106687810161² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106687810121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 925455 + ... + 1034331.

Almost surely, 2^106687810161 is an apocalyptic number.

106687810161 is the 326631-st square number.

106687810161 is the 163316-th centered octagonal number.

It is an amenable number.

106687810161 is a deficient number, since it is larger than the sum of its proper divisors (47418219930).

106687810161 is an frugal number, since it uses more digits than its factorization.

106687810161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217760 (or 108880 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 106687810161 in words is "one hundred six billion, six hundred eighty-seven million, eight hundred ten thousand, one hundred sixty-one".