103438130920 has 128 divisors (see below), whose sum is σ = 250361072640. Its totient is φ = 38361185280.

The previous prime is 103438130911. The next prime is 103438130921. The reversal of 103438130920 is 29031834301.

It is not an unprimeable number, because it can be changed into a prime (103438130921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9219234 + ... + 9230446.

It is an arithmetic number, because the mean of its divisors is an integer number (1955945880).

Almost surely, 2^103438130920 is an apocalyptic number.

103438130920 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 103438130920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125180536320).

103438130920 is an abundant number, since it is smaller than the sum of its proper divisors (146922941720).

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

103438130920 is a wasteful number, since it uses less digits than its factorization.

103438130920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11555 (or 11551 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 103438130920 in words is "one hundred three billion, four hundred thirty-eight million, one hundred thirty thousand, nine hundred twenty".