103778359936 has 128 divisors (see below), whose sum is σ = 231349219200. Its totient is φ = 46081769472.

The previous prime is 103778359931. The next prime is 103778359969. The reversal of 103778359936 is 639953877301.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (103778359931) 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 15 ways as a sum of consecutive naturals, for example, 10620525 + ... + 10630291.

It is an arithmetic number, because the mean of its divisors is an integer number (1807415775).

Almost surely, 2^103778359936 is an apocalyptic number.

103778359936 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 103778359936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115674609600).

103778359936 is an abundant number, since it is smaller than the sum of its proper divisors (127570859264).

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

103778359936 is a wasteful number, since it uses less digits than its factorization.

103778359936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10074 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 61.

The spelling of 103778359936 in words is "one hundred three billion, seven hundred seventy-eight million, three hundred fifty-nine thousand, nine hundred thirty-six".