103039438320 has 1440 divisors, whose sum is σ = 459390597120. Its totient is φ = 20483850240.

The previous prime is 103039438283. The next prime is 103039438321. The reversal of 103039438320 is 23834930301.

103039438320 = 147² + 148² + ... + 6761².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103039438321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 811334097 + ... + 811334223.

It is an arithmetic number, because the mean of its divisors is an integer number (319021248).

Almost surely, 2^103039438320 is an apocalyptic number.

103039438320 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 103039438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229695298560).

103039438320 is an abundant number, since it is smaller than the sum of its proper divisors (356351158800).

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

103039438320 is a wasteful number, since it uses less digits than its factorization.

103039438320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 103039438320 in words is "one hundred three billion, thirty-nine million, four hundred thirty-eight thousand, three hundred twenty".