10284717108906 has 128 divisors (see below), whose sum is σ = 23490023040000. Its totient is φ = 3334304399040.

The previous prime is 10284717108881. The next prime is 10284717108931. The reversal of 10284717108906 is 60980171748201.

10284717108906 is a `hidden beast` number, since 1 + 0 + 28 + 471 + 71 + 0 + 89 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10284717108881) and next prime (10284717108931).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 239944905 + ... + 239987763.

It is an arithmetic number, because the mean of its divisors is an integer number (183515805000).

Almost surely, 2^{10284717108906} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10284717108906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11745011520000).

10284717108906 is an abundant number, since it is smaller than the sum of its proper divisors (13205305931094).

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

10284717108906 is a wasteful number, since it uses less digits than its factorization.

10284717108906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43729 (or 43723 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 10284717108906 in words is "ten trillion, two hundred eighty-four billion, seven hundred seventeen million, one hundred eight thousand, nine hundred six".