103435345200 has 240 divisors, whose sum is σ = 362318095872. Its totient is φ = 25015680000.

The previous prime is 103435345141. The next prime is 103435345213. The reversal of 103435345200 is 2543534301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5680110 + ... + 5698290.

Almost surely, 2^103435345200 is an apocalyptic number.

103435345200 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 103435345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181159047936).

103435345200 is an abundant number, since it is smaller than the sum of its proper divisors (258882750672).

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

103435345200 is a wasteful number, since it uses less digits than its factorization.

103435345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18644 (or 18633 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 103435345200 its reverse (2543534301), we get a palindrome (105978879501).

The spelling of 103435345200 in words is "one hundred three billion, four hundred thirty-five million, three hundred forty-five thousand, two hundred".