1105362019008 has 168 divisors, whose sum is σ = 3415700751008. Its totient is φ = 339746254848.

The previous prime is 1105362018979. The next prime is 1105362019019. The reversal of 1105362019008 is 8009102635011.

1105362019008 is a `hidden beast` number, since 1 + 10 + 5 + 3 + 620 + 19 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 6937485 + ... + 7095027.

Almost surely, 2^{1105362019008} is an apocalyptic number.

1105362019008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105362019008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707850375504).

1105362019008 is an abundant number, since it is smaller than the sum of its proper divisors (2310338732000).

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

1105362019008 is a wasteful number, since it uses less digits than its factorization.

1105362019008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158511 (or 158498 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 1105362019008 in words is "one trillion, one hundred five billion, three hundred sixty-two million, nineteen thousand, eight".