1105105555105 has 8 divisors (see below), whose sum is σ = 1326133169064. Its totient is φ = 884080108800.

The previous prime is 1105105555087. The next prime is 1105105555123. The reversal of 1105105555105 is 5015555015011.

It is an interprime number because it is at equal distance from previous prime (1105105555087) and next prime (1105105555123).

It can be written as a sum of positive squares in 4 ways, for example, as 8427409 + 1105097127696 = 2903^2 + 1051236^2 .

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

It is not a de Polignac number, because 1105105555105 - 2¹⁵ = 1105105522337 is a prime.

It is a super-2 number, since 2×1105105555105² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 956185 + ... + 1767625.

It is an arithmetic number, because the mean of its divisors is an integer number (165766646133).

Almost surely, 2^{1105105555105} is an apocalyptic number.

It is an amenable number.

1105105555105 is a deficient number, since it is larger than the sum of its proper divisors (221027613959).

1105105555105 is an equidigital number, since it uses as much as digits as its factorization.

1105105555105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083827.

The product of its (nonzero) digits is 15625, while the sum is 34.

The spelling of 1105105555105 in words is "one trillion, one hundred five billion, one hundred five million, five hundred fifty-five thousand, one hundred five".