105903816480 has 1152 divisors, whose sum is σ = 475246227456. Its totient is φ = 20822630400.

The previous prime is 105903816449. The next prime is 105903816527. The reversal of 105903816480 is 84618309501.

105903816480 is a `hidden beast` number, since 1 + 0 + 5 + 90 + 3 + 81 + 6 + 480 = 666.

It is a super-3 number, since 3×105903816480³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 334081282 + ... + 334081598.

It is an arithmetic number, because the mean of its divisors is an integer number (412540128).

Almost surely, 2^105903816480 is an apocalyptic number.

105903816480 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 105903816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237623113728).

105903816480 is an abundant number, since it is smaller than the sum of its proper divisors (369342410976).

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

105903816480 is a wasteful number, since it uses less digits than its factorization.

105903816480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 105903816480 in words is "one hundred five billion, nine hundred three million, eight hundred sixteen thousand, four hundred eighty".