1105426004100 has 432 divisors, whose sum is σ = 3571320170880. Its totient is φ = 263760640000.

The previous prime is 1105426004077. The next prime is 1105426004107. The reversal of 1105426004100 is 14006245011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1105426004107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 849673450 + ... + 849674750.

It is an arithmetic number, because the mean of its divisors is an integer number (8266944840).

Almost surely, 2^{1105426004100} is an apocalyptic number.

1105426004100 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 1105426004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785660085440).

1105426004100 is an abundant number, since it is smaller than the sum of its proper divisors (2465894166780).

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

1105426004100 is a wasteful number, since it uses less digits than its factorization.

1105426004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 1105426004100 in words is "one trillion, one hundred five billion, four hundred twenty-six million, four thousand, one hundred".