105561000106 has 8 divisors (see below), whose sum is σ = 159350045220. Its totient is φ = 52444318368.

The previous prime is 105561000067. The next prime is 105561000119. The reversal of 105561000106 is 601000165501.

It can be written as a sum of positive squares in 2 ways, for example, as 105554161881 + 6838225 = 324891^2 + 2615^2 .

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

It is a super-2 number, since 2×105561000106² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168090451 + ... + 168091078.

Almost surely, 2^105561000106 is an apocalyptic number.

105561000106 is a deficient number, since it is larger than the sum of its proper divisors (53789045114).

105561000106 is a wasteful number, since it uses less digits than its factorization.

105561000106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336181688.

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

Adding to 105561000106 its reverse (601000165501), we get a palindrome (706561165607).

The spelling of 105561000106 in words is "one hundred five billion, five hundred sixty-one million, one hundred six", and thus it is an aban number.