1093102103168 has 64 divisors (see below), whose sum is σ = 2188673160000. Its totient is φ = 543789711360.

The previous prime is 1093102103117. The next prime is 1093102103213. The reversal of 1093102103168 is 8613012013901.

1093102103168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167419328 + ... + 167425856.

It is an arithmetic number, because the mean of its divisors is an integer number (34198018125).

Almost surely, 2^{1093102103168} 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 1093102103168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094336580000).

1093102103168 is an abundant number, since it is smaller than the sum of its proper divisors (1095571056832).

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

1093102103168 is an equidigital number, since it uses as much as digits as its factorization.

1093102103168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12953 (or 12941 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 1093102103168 in words is "one trillion, ninety-three billion, one hundred two million, one hundred three thousand, one hundred sixty-eight".