105505105523106 has 16 divisors (see below), whose sum is σ = 211010374607904. Its totient is φ = 35168341247424.

The previous prime is 105505105523021. The next prime is 105505105523113. The reversal of 105505105523106 is 601325501505501.

It is a super-2 number, since 2×105505105523106² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2563306 + ... + 14750618.

It is an arithmetic number, because the mean of its divisors is an integer number (13188148412994).

Almost surely, 2^{105505105523106} is an apocalyptic number.

105505105523106 is an abundant number, since it is smaller than the sum of its proper divisors (105505269084798).

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

105505105523106 is a wasteful number, since it uses less digits than its factorization.

105505105523106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13630145.

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 105505105523106 in words is "one hundred five trillion, five hundred five billion, one hundred five million, five hundred twenty-three thousand, one hundred six".