105516161 has 4 divisors (see below), whose sum is σ = 111723012. Its totient is φ = 99309312.

The previous prime is 105516149. The next prime is 105516179. The reversal of 105516161 is 161615501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 86862400 + 18653761 = 9320^2 + 4319^2 .

It is a cyclic number.

It is not a de Polignac number, because 105516161 - 2⁶ = 105516097 is a prime.

It is a super-3 number, since 3×105516161³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105516161.

It is not an unprimeable number, because it can be changed into a prime (105516121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3103400 + ... + 3103433.

It is an arithmetic number, because the mean of its divisors is an integer number (27930753).

Almost surely, 2^105516161 is an apocalyptic number.

It is an amenable number.

105516161 is a deficient number, since it is larger than the sum of its proper divisors (6206851).

105516161 is an equidigital number, since it uses as much as digits as its factorization.

105516161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6206850.

The product of its (nonzero) digits is 900, while the sum is 26.

The square root of 105516161 is about 10272.1059671325. The cubic root of 105516161 is about 472.5411790954.

The spelling of 105516161 in words is "one hundred five million, five hundred sixteen thousand, one hundred sixty-one".