1110106680444 has 108 divisors (see below), whose sum is σ = 2865285377136. Its totient is φ = 362324347776.

The previous prime is 1110106680443. The next prime is 1110106680461. The reversal of 1110106680444 is 4440866010111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1110106680399 and 1110106680408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110106680443) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50764657 + ... + 50786519.

Almost surely, 2^{1110106680444} 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 1110106680444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432642688568).

1110106680444 is an abundant number, since it is smaller than the sum of its proper divisors (1755178696692).

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

1110106680444 is a wasteful number, since it uses less digits than its factorization.

1110106680444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22224 (or 22080 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1110106680444 in words is "one trillion, one hundred ten billion, one hundred six million, six hundred eighty thousand, four hundred forty-four".