103554365667144 has 128 divisors (see below), whose sum is σ = 303239604890880. Its totient is φ = 28850694451200.

The previous prime is 103554365667121. The next prime is 103554365667169. The reversal of 103554365667144 is 441766563455301.

103554365667144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103554365667144³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9780084 + ... + 17399964.

It is an arithmetic number, because the mean of its divisors is an integer number (2369059413210).

Almost surely, 2^{103554365667144} is an apocalyptic number.

103554365667144 is a gapful number since it is divisible by the number (14) 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 103554365667144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151619802445440).

103554365667144 is an abundant number, since it is smaller than the sum of its proper divisors (199685239223736).

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

103554365667144 is a wasteful number, since it uses less digits than its factorization.

103554365667144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621911 (or 7621907 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 60.

The spelling of 103554365667144 in words is "one hundred three trillion, five hundred fifty-four billion, three hundred sixty-five million, six hundred sixty-seven thousand, one hundred forty-four".