103966415514080 has 288 divisors, whose sum is σ = 288803263474656. Its totient is φ = 35261565566976.

The previous prime is 103966415514079. The next prime is 103966415514089. The reversal of 103966415514080 is 80415514669301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103966415514089) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1675306412 + ... + 1675368468.

It is an arithmetic number, because the mean of its divisors is an integer number (1002789109287).

Almost surely, 2^{103966415514080} is an apocalyptic number.

103966415514080 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 103966415514080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144401631737328).

103966415514080 is an abundant number, since it is smaller than the sum of its proper divisors (184836847960576).

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

103966415514080 is a wasteful number, since it uses less digits than its factorization.

103966415514080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64386 (or 64371 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 53.

The spelling of 103966415514080 in words is "one hundred three trillion, nine hundred sixty-six billion, four hundred fifteen million, five hundred fourteen thousand, eighty".