1055105505 has 48 divisors (see below), whose sum is σ = 1891328400. Its totient is φ = 543711744.

The previous prime is 1055105501. The next prime is 1055105507. The reversal of 1055105505 is 5055015501.

1055105505 is a `hidden beast` number, since 1 + 0 + 55 + 105 + 505 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 86713344 + 968392161 = 9312^2 + 31119^2 .

It is not a de Polignac number, because 1055105505 - 2² = 1055105501 is a prime.

It is a super-2 number, since 2×1055105505² = 2226495253362610050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055105501) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 245959 + ... + 250211.

It is an arithmetic number, because the mean of its divisors is an integer number (39402675).

Almost surely, 2^1055105505 is an apocalyptic number.

1055105505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1055105505 is a deficient number, since it is larger than the sum of its proper divisors (836222895).

1055105505 is a wasteful number, since it uses less digits than its factorization.

1055105505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The square root of 1055105505 is about 32482.3876123662. The cubic root of 1055105505 is about 1018.0410643293.

It can be divided in two parts, 105 and 5105505, that added together give a triangular number (5105610 = T₃₁₉₅).

The spelling of 1055105505 in words is "one billion, fifty-five million, one hundred five thousand, five hundred five".