105505100556101 has 8 divisors (see below), whose sum is σ = 112817335249944. Its totient is φ = 98315760563200.

The previous prime is 105505100556091. The next prime is 105505100556157. The reversal of 105505100556101 is 101655001505501.

It can be written as a sum of positive squares in 4 ways, for example, as 24064420802500 + 81440679753601 = 4905550^2 + 9024449^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105505100556101 - 2⁴⁶ = 35136356378437 is a prime.

It is a super-2 number, since 2×105505100556101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505100552101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30723673460 + ... + 30723676893.

It is an arithmetic number, because the mean of its divisors is an integer number (14102166906243).

Almost surely, 2^{105505100556101} is an apocalyptic number.

It is an amenable number.

105505100556101 is a deficient number, since it is larger than the sum of its proper divisors (7312234693843).

105505100556101 is a wasteful number, since it uses less digits than its factorization.

105505100556101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61447350471.

The product of its (nonzero) digits is 18750, while the sum is 35.

The spelling of 105505100556101 in words is "one hundred five trillion, five hundred five billion, one hundred million, five hundred fifty-six thousand, one hundred one".