103330283105640 has 256 divisors, whose sum is σ = 315505041408000. Its totient is φ = 27068473635840.

The previous prime is 103330283105617. The next prime is 103330283105641. The reversal of 103330283105640 is 46501382033301.

It is a super-3 number, since 3×103330283105640³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103330283105641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1499483506 + ... + 1499552414.

It is an arithmetic number, because the mean of its divisors is an integer number (1232441568000).

Almost surely, 2^{103330283105640} is an apocalyptic number.

103330283105640 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 103330283105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157752520704000).

103330283105640 is an abundant number, since it is smaller than the sum of its proper divisors (212174758302360).

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

103330283105640 is a wasteful number, since it uses less digits than its factorization.

103330283105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69800 (or 69796 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 103330283105640 in words is "one hundred three trillion, three hundred thirty billion, two hundred eighty-three million, one hundred five thousand, six hundred forty".