103042320000 has 640 divisors, whose sum is σ = 367082496000. Its totient is φ = 25523712000.

The previous prime is 103042319971. The next prime is 103042320049. The reversal of 103042320000 is 23240301.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 269039809 + ... + 269040191.

It is an arithmetic number, because the mean of its divisors is an integer number (573566400).

Almost surely, 2^103042320000 is an apocalyptic number.

103042320000 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 103042320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183541248000).

103042320000 is an abundant number, since it is smaller than the sum of its proper divisors (264040176000).

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

103042320000 is an equidigital number, since it uses as much as digits as its factorization.

103042320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 103042320000 its reverse (23240301), we get a palindrome (103065560301).

The spelling of 103042320000 in words is "one hundred three billion, forty-two million, three hundred twenty thousand".