105155560101 has 16 divisors (see below), whose sum is σ = 143047808640. Its totient is φ = 68692249920.

The previous prime is 105155560091. The next prime is 105155560123. The reversal of 105155560101 is 101065551501.

It is not a de Polignac number, because 105155560101 - 2¹³ = 105155551909 is a prime.

It is a super-3 number, since 3×105155560101³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105155560141) 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, 1044306 + ... + 1140563.

It is an arithmetic number, because the mean of its divisors is an integer number (8940488040).

Almost surely, 2^105155560101 is an apocalyptic number.

It is an amenable number.

105155560101 is a deficient number, since it is larger than the sum of its proper divisors (37892248539).

105155560101 is a wasteful number, since it uses less digits than its factorization.

105155560101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185196.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 105155560101 in words is "one hundred five billion, one hundred fifty-five million, five hundred sixty thousand, one hundred one".