103967781960 has 512 divisors, whose sum is σ = 388775116800. Its totient is φ = 21700116480.

The previous prime is 103967781877. The next prime is 103967781991. The reversal of 103967781960 is 69187769301.

It is a self number, because there is not a number n which added to its sum of digits gives 103967781960.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 139929349 + ... + 139930091.

It is an arithmetic number, because the mean of its divisors is an integer number (759326400).

Almost surely, 2^103967781960 is an apocalyptic number.

103967781960 is a gapful number since it is divisible by the number (10) 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 103967781960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194387558400).

103967781960 is an abundant number, since it is smaller than the sum of its proper divisors (284807334840).

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

103967781960 is a wasteful number, since it uses less digits than its factorization.

103967781960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 103967781960 in words is "one hundred three billion, nine hundred sixty-seven million, seven hundred eighty-one thousand, nine hundred sixty".