103320349440 has 432 divisors, whose sum is σ = 418757713920. Its totient is φ = 21468733440.

The previous prime is 103320349439. The next prime is 103320349441. The reversal of 103320349440 is 44943023301.

It is an interprime number because it is at equal distance from previous prime (103320349439) and next prime (103320349441).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (103320349441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2044801 + ... + 2094719.

It is an arithmetic number, because the mean of its divisors is an integer number (969346560).

Almost surely, 2^103320349440 is an apocalyptic number.

103320349440 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 103320349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209378856960).

103320349440 is an abundant number, since it is smaller than the sum of its proper divisors (315437364480).

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

103320349440 is a wasteful number, since it uses less digits than its factorization.

103320349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49968 (or 49947 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 103320349440 in words is "one hundred three billion, three hundred twenty million, three hundred forty-nine thousand, four hundred forty".