106005651161 has 16 divisors (see below), whose sum is σ = 107240060928. Its totient is φ = 104779785600.

The previous prime is 106005651139. The next prime is 106005651173. The reversal of 106005651161 is 161156500601.

It is a cyclic number.

It is not a de Polignac number, because 106005651161 - 2⁶ = 106005651097 is a prime.

It is a super-2 number, since 2×106005651161² (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 (106005657161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39449960 + ... + 39452646.

It is an arithmetic number, because the mean of its divisors is an integer number (6702503808).

Almost surely, 2^106005651161 is an apocalyptic number.

It is an amenable number.

106005651161 is a deficient number, since it is larger than the sum of its proper divisors (1234409767).

106005651161 is a wasteful number, since it uses less digits than its factorization.

106005651161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 106005651161 in words is "one hundred six billion, five million, six hundred fifty-one thousand, one hundred sixty-one".