103759488000 has 704 divisors, whose sum is σ = 438378969600. Its totient is φ = 23710924800.

The previous prime is 103759487957. The next prime is 103759488011. The reversal of 103759488000 is 884957301.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24189856 + ... + 24194144.

It is an arithmetic number, because the mean of its divisors is an integer number (622697400).

Almost surely, 2^103759488000 is an apocalyptic number.

103759488000 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 103759488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219189484800).

103759488000 is an abundant number, since it is smaller than the sum of its proper divisors (334619481600).

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

103759488000 is an equidigital number, since it uses as much as digits as its factorization.

103759488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 103759488000 in words is "one hundred three billion, seven hundred fifty-nine million, four hundred eighty-eight thousand".