105616161 has 24 divisors (see below), whose sum is σ = 181933440. Its totient is φ = 57727296.

The previous prime is 105616151. The next prime is 105616183. The reversal of 105616161 is 161616501.

It is not a de Polignac number, because 105616161 - 2¹⁹ = 105091873 is a prime.

It is a super-2 number, since 2×105616161² = 22309546928755842, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (105616111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34996 + ... + 37893.

It is an arithmetic number, because the mean of its divisors is an integer number (7580560).

Almost surely, 2^105616161 is an apocalyptic number.

It is an amenable number.

105616161 is a deficient number, since it is larger than the sum of its proper divisors (76317279).

105616161 is a wasteful number, since it uses less digits than its factorization.

105616161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72925 (or 72922 counting only the distinct ones).

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

The square root of 105616161 is about 10276.9723654392. The cubic root of 105616161 is about 472.6904112048.

The spelling of 105616161 in words is "one hundred five million, six hundred sixteen thousand, one hundred sixty-one".