106516161 has 16 divisors (see below), whose sum is σ = 158270400. Its totient is φ = 70799904.

The previous prime is 106516133. The next prime is 106516171. The reversal of 106516161 is 161615601.

106516161 is a `hidden beast` number, since 1 + 0 + 651 + 6 + 1 + 6 + 1 = 666.

It is not a de Polignac number, because 106516161 - 2⁶ = 106516097 is a prime.

It is a super-2 number, since 2×106516161² = 22691385108355842, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106516171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3685 + ... + 15053.

It is an arithmetic number, because the mean of its divisors is an integer number (9891900).

Almost surely, 2^106516161 is an apocalyptic number.

It is an amenable number.

106516161 is a deficient number, since it is larger than the sum of its proper divisors (51754239).

106516161 is a wasteful number, since it uses less digits than its factorization.

106516161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11725 (or 11719 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 106516161 is about 10320.6666935814. Note that the first 4 decimals coincide. The cubic root of 106516161 is about 474.0292803575.

The spelling of 106516161 in words is "one hundred six million, five hundred sixteen thousand, one hundred sixty-one".