103740322816 has 132 divisors (see below), whose sum is σ = 230051464524. Its totient is φ = 46709145600.

The previous prime is 103740322801. The next prime is 103740322823. The reversal of 103740322816 is 618223047301.

It is a happy number.

103740322816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 78902562816 + 24837760000 = 280896^2 + 157600^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7087986 + ... + 7102606.

Almost surely, 2^103740322816 is an apocalyptic number.

103740322816 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 103740322816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115025732262).

103740322816 is an abundant number, since it is smaller than the sum of its proper divisors (126311141708).

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

103740322816 is a wasteful number, since it uses less digits than its factorization.

103740322816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14708 (or 14677 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 103740322816 in words is "one hundred three billion, seven hundred forty million, three hundred twenty-two thousand, eight hundred sixteen".