103305995520 has 432 divisors, whose sum is σ = 408321148032. Its totient is φ = 21795471360.

The previous prime is 103305995519. The next prime is 103305995549. The reversal of 103305995520 is 25599503301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4531350 + ... + 4554090.

Almost surely, 2^103305995520 is an apocalyptic number.

103305995520 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 103305995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204160574016).

103305995520 is an abundant number, since it is smaller than the sum of its proper divisors (305015152512).

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

103305995520 is a wasteful number, since it uses less digits than its factorization.

103305995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22798 (or 22771 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 42.

The spelling of 103305995520 in words is "one hundred three billion, three hundred five million, nine hundred ninety-five thousand, five hundred twenty".