105555500010601 has 8 divisors (see below), whose sum is σ = 106702225245000. Its totient is φ = 104410767350400.

The previous prime is 105555500010557. The next prime is 105555500010607. The reversal of 105555500010601 is 106010005555501.

It can be written as a sum of positive squares in 4 ways, for example, as 54520207088400 + 51035292922201 = 7383780^2 + 7143899^2 .

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 105555500010601 - 2³⁹ = 105005744196713 is a prime.

It is a super-2 number, since 2×105555500010601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105555500010607) 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, 498037026 + ... + 498248923.

It is an arithmetic number, because the mean of its divisors is an integer number (13337778155625).

Almost surely, 2^{105555500010601} is an apocalyptic number.

It is an amenable number.

105555500010601 is a deficient number, since it is larger than the sum of its proper divisors (1146725234399).

105555500010601 is a wasteful number, since it uses less digits than its factorization.

105555500010601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996287099.

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 105555500010601 in words is "one hundred five trillion, five hundred fifty-five billion, five hundred million, ten thousand, six hundred one".