1106511515655 has 64 divisors (see below), whose sum is σ = 2198967429120. Its totient is φ = 462639776256.

The previous prime is 1106511515617. The next prime is 1106511515687. The reversal of 1106511515655 is 5565151156011.

It is not a de Polignac number, because 1106511515655 - 2⁸ = 1106511515399 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3569707 + ... + 3867276.

It is an arithmetic number, because the mean of its divisors is an integer number (34358866080).

Almost surely, 2^{1106511515655} is an apocalyptic number.

1106511515655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1106511515655 is a deficient number, since it is larger than the sum of its proper divisors (1092455913465).

1106511515655 is a wasteful number, since it uses less digits than its factorization.

1106511515655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437120.

The product of its (nonzero) digits is 112500, while the sum is 42.

It can be divided in two parts, 110651 and 1515655, that added together give a triangular number (1626306 = T₁₈₀₃).

The spelling of 1106511515655 in words is "one trillion, one hundred six billion, five hundred eleven million, five hundred fifteen thousand, six hundred fifty-five".