106165621161 has 10 divisors (see below), whose sum is σ = 158593088522. Its totient is φ = 70777080720.

The previous prime is 106165621099. The next prime is 106165621183. The reversal of 106165621161 is 161126561601.

106165621161 is a `hidden beast` number, since 1 + 0 + 6 + 16 + 5 + 621 + 16 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74778183936 + 31387437225 = 273456^2 + 177165^2 .

It is not a de Polignac number, because 106165621161 - 2¹⁸ = 106165359017 is a prime.

It is a super-2 number, since 2×106165621161² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106165821161) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 655343260 + ... + 655343421.

Almost surely, 2^106165621161 is an apocalyptic number.

It is an amenable number.

106165621161 is a deficient number, since it is larger than the sum of its proper divisors (52427467361).

106165621161 is an equidigital number, since it uses as much as digits as its factorization.

106165621161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310686693 (or 1310686684 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 106165621161 in words is "one hundred six billion, one hundred sixty-five million, six hundred twenty-one thousand, one hundred sixty-one".