1289036108106 has 336 divisors, whose sum is σ = 3164361359544. Its totient is φ = 393411852288.

The previous prime is 1289036108093. The next prime is 1289036108137. The reversal of 1289036108106 is 6018016309821.

1289036108106 is a `hidden beast` number, since 1 + 28 + 9 + 0 + 3 + 610 + 8 + 1 + 0 + 6 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1251590375025 + 37445733081 = 1118745^2 + 193509^2 .

It is a super-2 number, since 2×1289036108106² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4399440496 + ... + 4399440788.

Almost surely, 2^{1289036108106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1289036108106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582180679772).

1289036108106 is an abundant number, since it is smaller than the sum of its proper divisors (1875325251438).

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

1289036108106 is a wasteful number, since it uses less digits than its factorization.

1289036108106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1289036108106 in words is "one trillion, two hundred eighty-nine billion, thirty-six million, one hundred eight thousand, one hundred six".