105011005555601 has 8 divisors (see below), whose sum is σ = 105018364941000. Its totient is φ = 105003646479360.

The previous prime is 105011005555571. The next prime is 105011005555657. The reversal of 105011005555601 is 106555500110501.

It can be written as a sum of positive squares in 4 ways, for example, as 12709331950225 + 92301673605376 = 3565015^2 + 9607376^2 .

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 105011005555601 - 2²⁶ = 105010938446737 is a prime.

It is a super-2 number, since 2×105011005555601² (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 (105011005555201) 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, 1388243741 + ... + 1388319381.

It is an arithmetic number, because the mean of its divisors is an integer number (13127295617625).

Almost surely, 2^{105011005555601} is an apocalyptic number.

It is an amenable number.

105011005555601 is a deficient number, since it is larger than the sum of its proper divisors (7359385399).

105011005555601 is an equidigital number, since it uses as much as digits as its factorization.

105011005555601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154579.

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

The spelling of 105011005555601 in words is "one hundred five trillion, eleven billion, five million, five hundred fifty-five thousand, six hundred one".