103321322003040 has 96 divisors (see below), whose sum is σ = 325759935555936. Its totient is φ = 27527144386560.

The previous prime is 103321322003027. The next prime is 103321322003041. The reversal of 103321322003040 is 40300223123301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103321322003040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103321322003041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97944141 + ... + 98993420.

It is an arithmetic number, because the mean of its divisors is an integer number (3393332662041).

Almost surely, 2^{103321322003040} is an apocalyptic number.

103321322003040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103321322003040 is an abundant number, since it is smaller than the sum of its proper divisors (222438613552896).

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

103321322003040 is a wasteful number, since it uses less digits than its factorization.

103321322003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196938672 (or 196938664 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 103321322003040 its reverse (40300223123301), we get a palindrome (143621545126341).

The spelling of 103321322003040 in words is "one hundred three trillion, three hundred twenty-one billion, three hundred twenty-two million, three thousand, forty".