103542320000 has 320 divisors, whose sum is σ = 307431590400. Its totient is φ = 33952512000.

The previous prime is 103542319981. The next prime is 103542320017. The reversal of 103542320000 is 23245301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×103542320000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12875981 + ... + 12884019.

It is an arithmetic number, because the mean of its divisors is an integer number (960723720).

Almost surely, 2^103542320000 is an apocalyptic number.

103542320000 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 103542320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153715795200).

103542320000 is an abundant number, since it is smaller than the sum of its proper divisors (203889270400).

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

103542320000 is an frugal number, since it uses more digits than its factorization.

103542320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8103 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 103542320000 its reverse (23245301), we get a palindrome (103565565301).

The spelling of 103542320000 in words is "one hundred three billion, five hundred forty-two million, three hundred twenty thousand".