9985105929 has 64 divisors (see below), whose sum is σ = 14715509760. Its totient is φ = 6000583680.

The previous prime is 9985105919. The next prime is 9985105939. The reversal of 9985105929 is 9295015899.

It is an interprime number because it is at equal distance from previous prime (9985105919) and next prime (9985105939).

It is not a de Polignac number, because 9985105929 - 2¹⁹ = 9984581641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (9985105909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18254034 + ... + 18254580.

It is an arithmetic number, because the mean of its divisors is an integer number (229929840).

Almost surely, 2^9985105929 is an apocalyptic number.

It is an amenable number.

9985105929 is a deficient number, since it is larger than the sum of its proper divisors (4730403831).

9985105929 is a wasteful number, since it uses less digits than its factorization.

9985105929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790.

The product of its (nonzero) digits is 2624400, while the sum is 57.

The square root of 9985105929 is about 99925.5018951619. The cubic root of 9985105929 is about 2153.3645484558.

The spelling of 9985105929 in words is "nine billion, nine hundred eighty-five million, one hundred five thousand, nine hundred twenty-nine".