103103730432 has 216 divisors, whose sum is σ = 316158438960. Its totient is φ = 32222085120.

The previous prime is 103103730427. The next prime is 103103730461. The reversal of 103103730432 is 234037301301.

103103730432 is a `hidden beast` number, since 10 + 310 + 3 + 7 + 304 + 32 = 666.

103103730432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 103103730396 and 103103730405.

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, 4234132 + ... + 4258412.

Almost surely, 2^103103730432 is an apocalyptic number.

103103730432 is a gapful number since it is divisible by the number (12) 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 103103730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158079219480).

103103730432 is an abundant number, since it is smaller than the sum of its proper divisors (213054708528).

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

103103730432 is a wasteful number, since it uses less digits than its factorization.

103103730432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24419 (or 24402 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 103103730432 in words is "one hundred three billion, one hundred three million, seven hundred thirty thousand, four hundred thirty-two".