103302400000 has 144 divisors (see below), whose sum is σ = 258192419940. Its totient is φ = 41318400000.

The previous prime is 103302399989. The next prime is 103302400021. The reversal of 103302400000 is 4203301.

It can be written as a sum of positive squares in 6 ways, for example, as 15743222784 + 87559177216 = 125472^2 + 295904^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6391930 + ... + 6408070.

Almost surely, 2^103302400000 is an apocalyptic number.

103302400000 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 103302400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129096209970).

103302400000 is an abundant number, since it is smaller than the sum of its proper divisors (154890019940).

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

103302400000 is an frugal number, since it uses more digits than its factorization.

103302400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16188 (or 16148 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 103302400000 its reverse (4203301), we get a palindrome (103306603301).

The spelling of 103302400000 in words is "one hundred three billion, three hundred two million, four hundred thousand".