1106873703144 has 384 divisors, whose sum is σ = 3546918460800. Its totient is φ = 308093829120.

The previous prime is 1106873703139. The next prime is 1106873703197. The reversal of 1106873703144 is 4413073786011.

It is a self number, because there is not a number n which added to its sum of digits gives 1106873703144.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98321964 + ... + 98333220.

It is an arithmetic number, because the mean of its divisors is an integer number (9236766825).

Almost surely, 2^{1106873703144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106873703144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773459230400).

1106873703144 is an abundant number, since it is smaller than the sum of its proper divisors (2440044757656).

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

1106873703144 is a wasteful number, since it uses less digits than its factorization.

1106873703144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11473 (or 11466 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1106873703144 in words is "one trillion, one hundred six billion, eight hundred seventy-three million, seven hundred three thousand, one hundred forty-four".