103798876896 has 1152 divisors, whose sum is σ = 402208934400. Its totient is φ = 25888481280.

The previous prime is 103798876873. The next prime is 103798876897. The reversal of 103798876896 is 698678897301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103798876897) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5463098775 + ... + 5463098793.

It is an arithmetic number, because the mean of its divisors is an integer number (349139700).

Almost surely, 2^103798876896 is an apocalyptic number.

103798876896 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 103798876896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201104467200).

103798876896 is an abundant number, since it is smaller than the sum of its proper divisors (298410057504).

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

103798876896 is a wasteful number, since it uses less digits than its factorization.

103798876896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 103798876896 in words is "one hundred three billion, seven hundred ninety-eight million, eight hundred seventy-six thousand, eight hundred ninety-six".