105506161 has 8 divisors (see below), whose sum is σ = 108214344. Its totient is φ = 102804480.

The previous prime is 105506123. The next prime is 105506239. The reversal of 105506161 is 161605501.

It can be written as a sum of positive squares in 4 ways, for example, as 4704561 + 100801600 = 2169^2 + 10040^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105506161 - 2⁹ = 105505649 is a prime.

It is a super-2 number, since 2×105506161² = 22263100017915842, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105506111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62845 + ... + 64501.

It is an arithmetic number, because the mean of its divisors is an integer number (13526793).

Almost surely, 2^105506161 is an apocalyptic number.

It is an amenable number.

105506161 is a deficient number, since it is larger than the sum of its proper divisors (2708183).

105506161 is a wasteful number, since it uses less digits than its factorization.

105506161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 105506161 is about 10271.6192004961. The cubic root of 105506161 is about 472.5262506995.

The spelling of 105506161 in words is "one hundred five million, five hundred six thousand, one hundred sixty-one".