105105161006 has 8 divisors (see below), whose sum is σ = 157661786880. Its totient is φ = 52551232048.

The previous prime is 105105160997. The next prime is 105105161009. The reversal of 105105161006 is 600161501501.

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

It is a super-2 number, since 2×105105161006² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105161009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 573806 + ... + 734481.

It is an arithmetic number, because the mean of its divisors is an integer number (19707723360).

Almost surely, 2^105105161006 is an apocalyptic number.

105105161006 is a deficient number, since it is larger than the sum of its proper divisors (52556625874).

105105161006 is a wasteful number, since it uses less digits than its factorization.

105105161006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348458.

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

Adding to 105105161006 its reverse (600161501501), we get a palindrome (705266662507).

The spelling of 105105161006 in words is "one hundred five billion, one hundred five million, one hundred sixty-one thousand, six".