10384108020 has 288 divisors, whose sum is σ = 37395671040. Its totient is φ = 2299207680.

The previous prime is 10384107991. The next prime is 10384108027. The reversal of 10384108020 is 2080148301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10384108027) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2494701 + ... + 2498859.

It is an arithmetic number, because the mean of its divisors is an integer number (129846080).

Almost surely, 2^10384108020 is an apocalyptic number.

10384108020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10384108020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18697835520).

10384108020 is an abundant number, since it is smaller than the sum of its proper divisors (27011563020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10384108020 is a wasteful number, since it uses less digits than its factorization.

10384108020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10384108020 in words is "ten billion, three hundred eighty-four million, one hundred eight thousand, twenty".