1006078116705 has 16 divisors (see below), whose sum is σ = 1609739775360. Its totient is φ = 536570066048.

The previous prime is 1006078116677. The next prime is 1006078116733. The reversal of 1006078116705 is 5076118706001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1006078116677) and next prime (1006078116733).

It is a cyclic number.

It is not a de Polignac number, because 1006078116705 - 2²⁴ = 1006061339489 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1880644 + ... + 2355626.

It is an arithmetic number, because the mean of its divisors is an integer number (100608735960).

Almost surely, 2^{1006078116705} is an apocalyptic number.

1006078116705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006078116705 is a deficient number, since it is larger than the sum of its proper divisors (603661658655).

1006078116705 is a wasteful number, since it uses less digits than its factorization.

1006078116705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616200.

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 1006078116705 in words is "one trillion, six billion, seventy-eight million, one hundred sixteen thousand, seven hundred five".