1100055105024 has 320 divisors, whose sum is σ = 3072798685440. Its totient is φ = 349268541440.

The previous prime is 1100055105013. The next prime is 1100055105029. The reversal of 1100055105024 is 4205015500011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1100055104985 and 1100055105003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100055105029) 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, 2111429884 + ... + 2111430404.

It is an arithmetic number, because the mean of its divisors is an integer number (9602495892).

Almost surely, 2^{1100055105024} 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 1100055105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536399342720).

1100055105024 is an abundant number, since it is smaller than the sum of its proper divisors (1972743580416).

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

1100055105024 is a wasteful number, since it uses less digits than its factorization.

1100055105024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The spelling of 1100055105024 in words is "one trillion, one hundred billion, fifty-five million, one hundred five thousand, twenty-four".