1103666101032 has 128 divisors (see below), whose sum is σ = 3186122688000. Its totient is φ = 315071619840.

The previous prime is 1103666100989. The next prime is 1103666101061. The reversal of 1103666101032 is 2301016663011.

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 31 ways as a sum of consecutive naturals, for example, 283258 + ... + 1512470.

It is an arithmetic number, because the mean of its divisors is an integer number (24891583500).

Almost surely, 2^{1103666101032} is an apocalyptic number.

1103666101032 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 1103666101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593061344000).

1103666101032 is an abundant number, since it is smaller than the sum of its proper divisors (2082456586968).

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

1103666101032 is a wasteful number, since it uses less digits than its factorization.

1103666101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229431 (or 1229427 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 1103666101032 in words is "one trillion, one hundred three billion, six hundred sixty-six million, one hundred one thousand, thirty-two".