1108105341972 has 96 divisors (see below), whose sum is σ = 2815723008000. Its totient is φ = 337884825600.

The previous prime is 1108105341971. The next prime is 1108105341977. The reversal of 1108105341972 is 2791435018011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1108105341971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2998947 + ... + 3348117.

It is an arithmetic number, because the mean of its divisors is an integer number (29330448000).

Almost surely, 2^{1108105341972} is an apocalyptic number.

1108105341972 is a gapful number since it is divisible by the number (12) 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 1108105341972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407861504000).

1108105341972 is an abundant number, since it is smaller than the sum of its proper divisors (1707617666028).

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

1108105341972 is a wasteful number, since it uses less digits than its factorization.

1108105341972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349677 (or 349675 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 1108105341972 in words is "one trillion, one hundred eight billion, one hundred five million, three hundred forty-one thousand, nine hundred seventy-two".