10084548105 has 24 divisors (see below), whose sum is σ = 17495961288. Its totient is φ = 5373478656.

The previous prime is 10084548101. The next prime is 10084548109. The reversal of 10084548105 is 50184548001.

10084548105 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 4 + 548 + 105 = 666.

10084548105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10084548101) and next prime (10084548109).

It can be written as a sum of positive squares in 4 ways, for example, as 7020261369 + 3064286736 = 83787^2 + 55356^2 .

It is not a de Polignac number, because 10084548105 - 2² = 10084548101 is a prime.

It is a super-2 number, since 2×10084548105² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10084548105.

It is not an unprimeable number, because it can be changed into a prime (10084548101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53332 + ... + 151701.

It is an arithmetic number, because the mean of its divisors is an integer number (728998387).

Almost surely, 2^10084548105 is an apocalyptic number.

10084548105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10084548105 is a deficient number, since it is larger than the sum of its proper divisors (7411413183).

10084548105 is a wasteful number, since it uses less digits than its factorization.

10084548105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206137 (or 206134 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 10084548105 in words is "ten billion, eighty-four million, five hundred forty-eight thousand, one hundred five".