10016554404105 has 48 divisors (see below), whose sum is σ = 17617617697680. Its totient is φ = 5264000262144.

The previous prime is 10016554404079. The next prime is 10016554404173. The reversal of 10016554404105 is 50140445561001.

10016554404105 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 5 + 544 + 0 + 4 + 105 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 664480934649 + 9352073469456 = 815157^2 + 3058116^2 .

It is not a de Polignac number, because 10016554404105 - 2¹⁰ = 10016554403081 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10016554404105.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4010772 + ... + 6009941.

It is an arithmetic number, because the mean of its divisors is an integer number (367033702035).

Almost surely, 2^{10016554404105} is an apocalyptic number.

10016554404105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10016554404105 is a deficient number, since it is larger than the sum of its proper divisors (7601063293575).

10016554404105 is a wasteful number, since it uses less digits than its factorization.

10016554404105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021050 (or 10021047 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 10016554404105 its reverse (50140445561001), we get a palindrome (60156999965106).

The spelling of 10016554404105 in words is "ten trillion, sixteen billion, five hundred fifty-four million, four hundred four thousand, one hundred five".