105506000106 has 32 divisors (see below), whose sum is σ = 239203890240. Its totient is φ = 30754785024.

The previous prime is 105506000077. The next prime is 105506000107. The reversal of 105506000106 is 601000605501.

It is a super-2 number, since 2×105506000106² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105506000107) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35594335 + ... + 35597298.

It is an arithmetic number, because the mean of its divisors is an integer number (7475121570).

Almost surely, 2^105506000106 is an apocalyptic number.

105506000106 is an abundant number, since it is smaller than the sum of its proper divisors (133697890134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105506000106 is a wasteful number, since it uses less digits than its factorization.

105506000106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71191670.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 105506000106 its reverse (601000605501), we get a palindrome (706506605607).

The spelling of 105506000106 in words is "one hundred five billion, five hundred six million, one hundred six", and thus it is an aban number.