103759308072 has 160 divisors (see below), whose sum is σ = 346580784000. Its totient is φ = 28356552576.

The previous prime is 103759308031. The next prime is 103759308083. The reversal of 103759308072 is 270803957301.

It is a happy number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 392947 + ... + 601602.

It is an arithmetic number, because the mean of its divisors is an integer number (2166129900).

Almost surely, 2^103759308072 is an apocalyptic number.

103759308072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103759308072 is an abundant number, since it is smaller than the sum of its proper divisors (242821475928).

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

103759308072 is a wasteful number, since it uses less digits than its factorization.

103759308072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994597 (or 994584 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 103759308072 in words is "one hundred three billion, seven hundred fifty-nine million, three hundred eight thousand, seventy-two".