103305388032 has 672 divisors, whose sum is σ = 384711634944. Its totient is φ = 25922764800.

The previous prime is 103305388009. The next prime is 103305388189. The reversal of 103305388032 is 230883503301.

103305388032 is a `hidden beast` number, since 10 + 3 + 3 + 0 + 538 + 80 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175988443 + ... + 175989029.

It is an arithmetic number, because the mean of its divisors is an integer number (572487552).

Almost surely, 2^103305388032 is an apocalyptic number.

103305388032 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 103305388032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192355817472).

103305388032 is an abundant number, since it is smaller than the sum of its proper divisors (281406246912).

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

103305388032 is a wasteful number, since it uses less digits than its factorization.

103305388032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 103305388032 in words is "one hundred three billion, three hundred five million, three hundred eighty-eight thousand, thirty-two".