103796868864 has 432 divisors, whose sum is σ = 310253690880. Its totient is φ = 30776279040.

The previous prime is 103796868863. The next prime is 103796868887. The reversal of 103796868864 is 468868697301.

It is a junction number, because it is equal to n+sod(n) for n = 103796868795 and 103796868804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103796868863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543439009 + ... + 543439199.

It is an arithmetic number, because the mean of its divisors is an integer number (718179840).

Almost surely, 2^103796868864 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 103796868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155126845440).

103796868864 is an abundant number, since it is smaller than the sum of its proper divisors (206456822016).

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

103796868864 is a wasteful number, since it uses less digits than its factorization.

103796868864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 103796868864 in words is "one hundred three billion, seven hundred ninety-six million, eight hundred sixty-eight thousand, eight hundred sixty-four".