103738475520 has 440 divisors, whose sum is σ = 380869290648. Its totient is φ = 26984448000.

The previous prime is 103738475509. The next prime is 103738475537. The reversal of 103738475520 is 25574837301.

103738475520 is a `hidden beast` number, since 10 + 3 + 7 + 3 + 84 + 7 + 552 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1174569984 + 102563905536 = 34272^2 + 320256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17000470 + ... + 17006570.

Almost surely, 2^103738475520 is an apocalyptic number.

103738475520 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 103738475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190434645324).

103738475520 is an abundant number, since it is smaller than the sum of its proper divisors (277130815128).

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

103738475520 is an equidigital number, since it uses as much as digits as its factorization.

103738475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 103738475520 in words is "one hundred three billion, seven hundred thirty-eight million, four hundred seventy-five thousand, five hundred twenty".