103406704613376 has 384 divisors, whose sum is σ = 292026518784000. Its totient is φ = 32483643752448.

The previous prime is 103406704613363. The next prime is 103406704613461. The reversal of 103406704613376 is 673316407604301.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13476694276 + ... + 13476701948.

It is an arithmetic number, because the mean of its divisors is an integer number (760485726000).

Almost surely, 2^{103406704613376} is an apocalyptic number.

103406704613376 is a gapful number since it is divisible by the number (16) 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 103406704613376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146013259392000).

103406704613376 is an abundant number, since it is smaller than the sum of its proper divisors (188619814170624).

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

103406704613376 is a wasteful number, since it uses less digits than its factorization.

103406704613376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9529 (or 9509 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 51.

The spelling of 103406704613376 in words is "one hundred three trillion, four hundred six billion, seven hundred four million, six hundred thirteen thousand, three hundred seventy-six".