105500106105 has 32 divisors (see below), whose sum is σ = 176159529216. Its totient is φ = 53814165504.

The previous prime is 105500106071. The next prime is 105500106121. The reversal of 105500106105 is 501601005501.

It is not a de Polignac number, because 105500106105 - 2¹⁸ = 105499843961 is a prime.

It is a super-2 number, since 2×105500106105² (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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5521849 + ... + 5540921.

It is an arithmetic number, because the mean of its divisors is an integer number (5504985288).

Almost surely, 2^105500106105 is an apocalyptic number.

105500106105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105500106105 is a deficient number, since it is larger than the sum of its proper divisors (70659423111).

105500106105 is a wasteful number, since it uses less digits than its factorization.

105500106105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35137.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 105500106105 in words is "one hundred five billion, five hundred million, one hundred six thousand, one hundred five".