105506100555 has 8 divisors (see below), whose sum is σ = 168809760912. Its totient is φ = 56269920288.

The previous prime is 105506100533. The next prime is 105506100563. The reversal of 105506100555 is 555001605501.

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

It is not a de Polignac number, because 105506100555 - 2¹² = 105506096459 is a prime.

It is a super-3 number, since 3×105506100555³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 7 ways as a sum of consecutive naturals, for example, 3516870004 + ... + 3516870033.

It is an arithmetic number, because the mean of its divisors is an integer number (21101220114).

Almost surely, 2^105506100555 is an apocalyptic number.

105506100555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105506100555 is a deficient number, since it is larger than the sum of its proper divisors (63303660357).

105506100555 is an equidigital number, since it uses as much as digits as its factorization.

105506100555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033740045.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 105506100555 in words is "one hundred five billion, five hundred six million, one hundred thousand, five hundred fifty-five".