105303404608 has 56 divisors (see below), whose sum is σ = 218223754560. Its totient is φ = 50321610240.

The previous prime is 105303404599. The next prime is 105303404771. The reversal of 105303404608 is 806404303501.

It is a happy number.

105303404608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105303404608² (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1824838 + ... + 1881658.

It is an arithmetic number, because the mean of its divisors is an integer number (3896852760).

Almost surely, 2^105303404608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105303404608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109111877280).

105303404608 is an abundant number, since it is smaller than the sum of its proper divisors (112920349952).

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

105303404608 is a wasteful number, since it uses less digits than its factorization.

105303404608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58115 (or 58105 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 105303404608 in words is "one hundred five billion, three hundred three million, four hundred four thousand, six hundred eight".