1102646156085 has 144 divisors (see below), whose sum is σ = 2069867021040. Its totient is φ = 542610524160.

The previous prime is 1102646156069. The next prime is 1102646156153. The reversal of 1102646156085 is 5806516462011.

1102646156085 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 6 + 4 + 6 + 1 + 560 + 85 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 381142012689 + 721504143396 = 617367^2 + 849414^2 .

It is not a de Polignac number, because 1102646156085 - 2⁴ = 1102646156069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1102646156085.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 552150307 + ... + 552152303.

It is an arithmetic number, because the mean of its divisors is an integer number (14374076535).

Almost surely, 2^{1102646156085} is an apocalyptic number.

1102646156085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1102646156085 is a deficient number, since it is larger than the sum of its proper divisors (967220864955).

1102646156085 is a wasteful number, since it uses less digits than its factorization.

1102646156085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1102646156085 in words is "one trillion, one hundred two billion, six hundred forty-six million, one hundred fifty-six thousand, eighty-five".