106161267364681 has 9 divisors (see below), whose sum is σ = 106384733612199. Its totient is φ = 105938269601544.

The previous prime is 106161267364679. The next prime is 106161267364793. The reversal of 106161267364681 is 186463762161601.

It is a happy number.

The square root of 106161267364681 is 10303459.

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., 2880470868025 + 103280796496656 = 1697195^2 + 10162716^2 .

It is not a de Polignac number, because 106161267364681 - 2¹ = 106161267364679 is a prime.

It is a super-2 number, since 2×106161267364681² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106161267164681) 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, 5017773955 + ... + 5017795111.

It is an arithmetic number, because the mean of its divisors is an integer number (11820525956911).

Almost surely, 2^{106161267364681} is an apocalyptic number.

106161267364681 is the 10303459-th square number.

106161267364681 is the 5151730-th centered octagonal number.

It is an amenable number.

106161267364681 is a deficient number, since it is larger than the sum of its proper divisors (223466247518).

106161267364681 is an frugal number, since it uses more digits than its factorization.

106161267364681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43288 (or 21644 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 106161267364681 in words is "one hundred six trillion, one hundred sixty-one billion, two hundred sixty-seven million, three hundred sixty-four thousand, six hundred eighty-one".