103878412416 has 320 divisors, whose sum is σ = 344563956000. Its totient is φ = 30873083904.

The previous prime is 103878412327. The next prime is 103878412441. The reversal of 103878412416 is 614214878301.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3333355 + ... + 3364373.

Almost surely, 2^103878412416 is an apocalyptic number.

103878412416 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 103878412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172281978000).

103878412416 is an abundant number, since it is smaller than the sum of its proper divisors (240685543584).

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

103878412416 is a wasteful number, since it uses less digits than its factorization.

103878412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31081 (or 31060 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 103878412416 in words is "one hundred three billion, eight hundred seventy-eight million, four hundred twelve thousand, four hundred sixteen".