1105141443100 has 72 divisors (see below), whose sum is σ = 2447611624080. Its totient is φ = 432994629120.

The previous prime is 1105141443083. The next prime is 1105141443121. The reversal of 1105141443100 is 13441415011.

It is a super-2 number, since 2×1105141443100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1296192 + ... + 1972408.

It is an arithmetic number, because the mean of its divisors is an integer number (33994605890).

Almost surely, 2^{1105141443100} is an apocalyptic number.

1105141443100 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 1105141443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223805812040).

1105141443100 is an abundant number, since it is smaller than the sum of its proper divisors (1342470180980).

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

1105141443100 is a wasteful number, since it uses less digits than its factorization.

1105141443100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676567 (or 676560 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 1105141443100 its reverse (13441415011), we get a palindrome (1118582858111).

The spelling of 1105141443100 in words is "one trillion, one hundred five billion, one hundred forty-one million, four hundred forty-three thousand, one hundred".