103255200000 has 324 divisors, whose sum is σ = 372139876836. Its totient is φ = 27532800000.

The previous prime is 103255199989. The next prime is 103255200007. The reversal of 103255200000 is 2552301.

It is a happy number.

103255200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 102164615424 + 1090584576 = 319632^2 + 33024^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103255200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7192830 + ... + 7207170.

Almost surely, 2^103255200000 is an apocalyptic number.

103255200000 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 103255200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186069938418).

103255200000 is an abundant number, since it is smaller than the sum of its proper divisors (268884676836).

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

103255200000 is an frugal number, since it uses more digits than its factorization.

103255200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14388 (or 14351 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 103255200000 its reverse (2552301), we get a palindrome (103257752301).

The spelling of 103255200000 in words is "one hundred three billion, two hundred fifty-five million, two hundred thousand".