9819982107 has 72 divisors (see below), whose sum is σ = 16046215920. Its totient is φ = 6005991888.

The previous prime is 9819982027. The next prime is 9819982121. The reversal of 9819982107 is 7012899189.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 9819982107 - 2⁷ = 9819981979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9819982147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60245208 + ... + 60245370.

It is an arithmetic number, because the mean of its divisors is an integer number (222864110).

Almost surely, 2^9819982107 is an apocalyptic number.

9819982107 is a deficient number, since it is larger than the sum of its proper divisors (6226233813).

9819982107 is an frugal number, since it uses more digits than its factorization.

9819982107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The square root of 9819982107 is about 99095.8228534382. The cubic root of 9819982107 is about 2141.4284365824.

The spelling of 9819982107 in words is "nine billion, eight hundred nineteen million, nine hundred eighty-two thousand, one hundred seven".