103904118478160 has 3840 divisors, whose sum is σ = 373794742272000. Its totient is φ = 26555848704000.

The previous prime is 103904118478159. The next prime is 103904118478163. The reversal of 103904118478160 is 61874811409301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103904118478163) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1550807738447 + ... + 1550807738513.

It is an arithmetic number, because the mean of its divisors is an integer number (97342380800).

Almost surely, 2^{103904118478160} is an apocalyptic number.

103904118478160 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 103904118478160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186897371136000).

103904118478160 is an abundant number, since it is smaller than the sum of its proper divisors (269890623793840).

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

103904118478160 is a wasteful number, since it uses less digits than its factorization.

103904118478160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 53.

The spelling of 103904118478160 in words is "one hundred three trillion, nine hundred four billion, one hundred eighteen million, four hundred seventy-eight thousand, one hundred sixty".