103538721408 has 96 divisors (see below), whose sum is σ = 292154609760. Its totient is φ = 32482701312.

The previous prime is 103538721383. The next prime is 103538721413. The reversal of 103538721408 is 804127835301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 103538721408.

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 11 ways as a sum of consecutive naturals, for example, 355516 + ... + 577467.

It is an arithmetic number, because the mean of its divisors is an integer number (3043277185).

Almost surely, 2^103538721408 is an apocalyptic number.

It is an amenable number.

103538721408 is an abundant number, since it is smaller than the sum of its proper divisors (188615888352).

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

103538721408 is an equidigital number, since it uses as much as digits as its factorization.

103538721408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933034 (or 933005 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 103538721408 in words is "one hundred three billion, five hundred thirty-eight million, seven hundred twenty-one thousand, four hundred eight".