103283785920 has 448 divisors, whose sum is σ = 384252825600. Its totient is φ = 23014637568.

The previous prime is 103283785919. The next prime is 103283785931. The reversal of 103283785920 is 29587382301.

It is a happy number.

103283785920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103283785920.

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, 110227692 + ... + 110228628.

It is an arithmetic number, because the mean of its divisors is an integer number (857707200).

Almost surely, 2^103283785920 is an apocalyptic number.

103283785920 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 103283785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192126412800).

103283785920 is an abundant number, since it is smaller than the sum of its proper divisors (280969039680).

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

103283785920 is a wasteful number, since it uses less digits than its factorization.

103283785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 103283785920 in words is "one hundred three billion, two hundred eighty-three million, seven hundred eighty-five thousand, nine hundred twenty".