1100606005059 has 64 divisors (see below), whose sum is σ = 1646621623296. Its totient is φ = 648300800000.

The previous prime is 1100606005043. The next prime is 1100606005099. The reversal of 1100606005059 is 9505006060011.

It is a cyclic number.

It is not a de Polignac number, because 1100606005059 - 2⁴ = 1100606005043 is a prime.

It is a super-2 number, since 2×1100606005059² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1100606005099) 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 63 ways as a sum of consecutive naturals, for example, 55127839 + ... + 55147799.

It is an arithmetic number, because the mean of its divisors is an integer number (25728462864).

Almost surely, 2^{1100606005059} is an apocalyptic number.

1100606005059 is a deficient number, since it is larger than the sum of its proper divisors (546015618237).

1100606005059 is a wasteful number, since it uses less digits than its factorization.

1100606005059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20380.

The product of its (nonzero) digits is 8100, while the sum is 33.

The spelling of 1100606005059 in words is "one trillion, one hundred billion, six hundred six million, five thousand, fifty-nine".