103138204320 has 144 divisors (see below), whose sum is σ = 352138026240. Its totient is φ = 27489541632.

The previous prime is 103138204297. The next prime is 103138204357. The reversal of 103138204320 is 23402831301.

103138204320 is a `hidden beast` number, since 1 + 0 + 3 + 138 + 204 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2988121 + ... + 3022439.

It is an arithmetic number, because the mean of its divisors is an integer number (2445402960).

Almost surely, 2^103138204320 is an apocalyptic number.

103138204320 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 103138204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176069013120).

103138204320 is an abundant number, since it is smaller than the sum of its proper divisors (248999821920).

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

103138204320 is a wasteful number, since it uses less digits than its factorization.

103138204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36427 (or 36416 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 103138204320 in words is "one hundred three billion, one hundred thirty-eight million, two hundred four thousand, three hundred twenty".