105006161 has 8 divisors (see below), whose sum is σ = 119735784. Its totient is φ = 91226880.

The previous prime is 105006157. The next prime is 105006163. The reversal of 105006161 is 161600501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6599761 + 98406400 = 2569^2 + 9920^2 .

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 105006161 - 2² = 105006157 is a prime.

It is a super-2 number, since 2×105006161² = 22052587695915842, which 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 (105006163) 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, 237350 + ... + 237791.

It is an arithmetic number, because the mean of its divisors is an integer number (14966973).

Almost surely, 2^105006161 is an apocalyptic number.

It is an amenable number.

105006161 is a deficient number, since it is larger than the sum of its proper divisors (14729623).

105006161 is a wasteful number, since it uses less digits than its factorization.

105006161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475171.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 105006161 is about 10247.2513875673. The cubic root of 105006161 is about 471.7786250615.

Adding to 105006161 its reverse (161600501), we get a palindrome (266606662).

It can be divided in two parts, 10500 and 6161, that added together give a palindrome (16661).

The spelling of 105006161 in words is "one hundred five million, six thousand, one hundred sixty-one".