103448758855680 has 5184 divisors, whose sum is σ = 479459656166400. Its totient is φ = 20502801285120.

The previous prime is 103448758855627. The next prime is 103448758855691. The reversal of 103448758855680 is 86558857844301.

103448758855680 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 8 + 7 + 58 + 8 + 5 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 103448758855599 and 103448758855608.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1162345605076 + ... + 1162345605164.

It is an arithmetic number, because the mean of its divisors is an integer number (92488359600).

Almost surely, 2^{103448758855680} is an apocalyptic number.

103448758855680 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 103448758855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239729828083200).

103448758855680 is an abundant number, since it is smaller than the sum of its proper divisors (376010897310720).

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

103448758855680 is a wasteful number, since it uses less digits than its factorization.

103448758855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1032192000, while the sum is 72.

The spelling of 103448758855680 in words is "one hundred three trillion, four hundred forty-eight billion, seven hundred fifty-eight million, eight hundred fifty-five thousand, six hundred eighty".