103442232004300 has 144 divisors (see below), whose sum is σ = 258091394093568. Its totient is φ = 35251008883200.

The previous prime is 103442232004249. The next prime is 103442232004381. The reversal of 103442232004300 is 3400232244301.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 2417587507 + ... + 2417630293.

It is an arithmetic number, because the mean of its divisors is an integer number (1792301347872).

Almost surely, 2^{103442232004300} is an apocalyptic number.

103442232004300 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 103442232004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129045697046784).

103442232004300 is an abundant number, since it is smaller than the sum of its proper divisors (154649162089268).

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

103442232004300 is a wasteful number, since it uses less digits than its factorization.

103442232004300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63656 (or 63649 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 103442232004300 its reverse (3400232244301), we get a palindrome (106842464248601).

The spelling of 103442232004300 in words is "one hundred three trillion, four hundred forty-two billion, two hundred thirty-two million, four thousand, three hundred".