109403028016128 has 1584 divisors, whose sum is σ = 429961480266240. Its totient is φ = 26411625676800.

The previous prime is 109403028016103. The next prime is 109403028016133. The reversal of 109403028016128 is 821610820304901.

109403028016128 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 0 + 3 + 0 + 28 + 0 + 1 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×109403028016128² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5002185033 + ... + 5002206903.

Almost surely, 2^{109403028016128} is an apocalyptic number.

109403028016128 is a gapful number since it is divisible by the number (18) 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 109403028016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214980740133120).

109403028016128 is an abundant number, since it is smaller than the sum of its proper divisors (320558452250112).

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

109403028016128 is a wasteful number, since it uses less digits than its factorization.

109403028016128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21994 (or 21966 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 109403028016128 in words is "one hundred nine trillion, four hundred three billion, twenty-eight million, sixteen thousand, one hundred twenty-eight".