105105500055505 has 8 divisors (see below), whose sum is σ = 126168075454824. Its totient is φ = 84056749785600.

The previous prime is 105105500055463. The next prime is 105105500055557. The reversal of 105105500055505 is 505550005501501.

It can be written as a sum of positive squares in 4 ways, for example, as 70844660123329 + 34260839932176 = 8416927^2 + 5853276^2 .

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

It is not a de Polignac number, because 105105500055505 - 2¹³ = 105105500047313 is a prime.

It is a super-2 number, since 2×105105500055505² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3456265626 + ... + 3456296035.

It is an arithmetic number, because the mean of its divisors is an integer number (15771009431853).

Almost surely, 2^{105105500055505} is an apocalyptic number.

It is an amenable number.

105105500055505 is a deficient number, since it is larger than the sum of its proper divisors (21062575399319).

105105500055505 is an equidigital number, since it uses as much as digits as its factorization.

105105500055505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912564707.

The product of its (nonzero) digits is 78125, while the sum is 37.

The spelling of 105105500055505 in words is "one hundred five trillion, one hundred five billion, five hundred million, fifty-five thousand, five hundred five".