103554404000000 has 504 divisors, whose sum is σ = 261439024631400. Its totient is φ = 40934195200000.

The previous prime is 103554403999993. The next prime is 103554404000009. The reversal of 103554404000000 is 404455301.

It can be written as a sum of positive squares in 28 ways, for example, as 60285161979904 + 43269242020096 = 7764352^2 + 6577936^2 .

It is a super-3 number, since 3×103554404000000³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103554404000009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 174627999704 + ... + 174628000296.

It is an arithmetic number, because the mean of its divisors is an integer number (518728223475).

Almost surely, 2^{103554404000000} is an apocalyptic number.

103554404000000 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 103554404000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130719512315700).

103554404000000 is an abundant number, since it is smaller than the sum of its proper divisors (157884620631400).

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

103554404000000 is an frugal number, since it uses more digits than its factorization.

103554404000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 103554404000000 its reverse (404455301), we get a palindrome (103554808455301).

The spelling of 103554404000000 in words is "one hundred three trillion, five hundred fifty-four billion, four hundred four million", and thus it is an aban number.