1102355166705 has 32 divisors (see below), whose sum is σ = 1900883255040. Its totient is φ = 542286355200.

The previous prime is 1102355166637. The next prime is 1102355166719. The reversal of 1102355166705 is 5076615532011.

It is not a de Polignac number, because 1102355166705 - 2¹⁷ = 1102355035633 is a prime.

It is a super-2 number, since 2×1102355166705² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1885746 + ... + 2400155.

It is an arithmetic number, because the mean of its divisors is an integer number (59402601720).

Almost surely, 2^{1102355166705} is an apocalyptic number.

1102355166705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1102355166705 is a deficient number, since it is larger than the sum of its proper divisors (798528088335).

1102355166705 is a wasteful number, since it uses less digits than its factorization.

1102355166705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287241.

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 1102355166705 in words is "one trillion, one hundred two billion, three hundred fifty-five million, one hundred sixty-six thousand, seven hundred five".