1105128553100 has 144 divisors (see below), whose sum is σ = 2842319017440. Its totient is φ = 367668940800.

The previous prime is 1105128553079. The next prime is 1105128553103. The reversal of 1105128553100 is 13558215011.

It is a super-2 number, since 2×1105128553100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1105128553103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1273946 + ... + 1957854.

It is an arithmetic number, because the mean of its divisors is an integer number (19738326510).

Almost surely, 2^{1105128553100} is an apocalyptic number.

1105128553100 is a gapful number since it is divisible by the number (10) 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 1105128553100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421159508720).

1105128553100 is an abundant number, since it is smaller than the sum of its proper divisors (1737190464340).

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

1105128553100 is a wasteful number, since it uses less digits than its factorization.

1105128553100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684060 (or 684053 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 32.

The spelling of 1105128553100 in words is "one trillion, one hundred five billion, one hundred twenty-eight million, five hundred fifty-three thousand, one hundred".