103878441576 has 640 divisors, whose sum is σ = 375973678080. Its totient is φ = 26063161344.

The previous prime is 103878441553. The next prime is 103878441617. The reversal of 103878441576 is 675144878301.

103878441576 is a `hidden beast` number, since 1 + 0 + 3 + 87 + 84 + 415 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 102544846 + ... + 102545858.

It is an arithmetic number, because the mean of its divisors is an integer number (587458872).

Almost surely, 2^103878441576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103878441576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187986839040).

103878441576 is an abundant number, since it is smaller than the sum of its proper divisors (272095236504).

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

103878441576 is a wasteful number, since it uses less digits than its factorization.

103878441576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 103878441576 in words is "one hundred three billion, eight hundred seventy-eight million, four hundred forty-one thousand, five hundred seventy-six".