1016436630105 has 32 divisors (see below), whose sum is σ = 1945998337920. Its totient is φ = 500399570880.

The previous prime is 1016436630073. The next prime is 1016436630133. The reversal of 1016436630105 is 5010366346101.

1016436630105 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 4 + 3 + 6 + 630 + 10 + 5 = 666.

It is not a de Polignac number, because 1016436630105 - 2⁵ = 1016436630073 is a prime.

It is a super-2 number, since 2×1016436630105² (a number of 25 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 1016436630105.

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 31 ways as a sum of consecutive naturals, for example, 289581331 + ... + 289584840.

It is an arithmetic number, because the mean of its divisors is an integer number (60812448060).

Almost surely, 2^{1016436630105} is an apocalyptic number.

1016436630105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1016436630105 is a deficient number, since it is larger than the sum of its proper divisors (929561707815).

1016436630105 is a wasteful number, since it uses less digits than its factorization.

1016436630105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579166198 (or 579166192 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1016436630105 in words is "one trillion, sixteen billion, four hundred thirty-six million, six hundred thirty thousand, one hundred five".