103778871504 has 960 divisors, whose sum is σ = 376175923200. Its totient is φ = 24042332160.

The previous prime is 103778871503. The next prime is 103778871541. The reversal of 103778871504 is 405178877301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103778871503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1166054692 + ... + 1166054780.

It is an arithmetic number, because the mean of its divisors is an integer number (391849920).

Almost surely, 2^103778871504 is an apocalyptic number.

103778871504 is a gapful number since it is divisible by the number (14) 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 103778871504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188087961600).

103778871504 is an abundant number, since it is smaller than the sum of its proper divisors (272397051696).

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

103778871504 is a wasteful number, since it uses less digits than its factorization.

103778871504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 51.

The spelling of 103778871504 in words is "one hundred three billion, seven hundred seventy-eight million, eight hundred seventy-one thousand, five hundred four".