105384596490000 has 675 divisors, whose sum is σ = 389179260919449. Its totient is φ = 26608694400000.

The previous prime is 105384596489779. The next prime is 105384596490037. The reversal of 105384596490000 is 94695483501.

The square root of 105384596490000 is 10265700.

It is a perfect power (a square), and thus also a powerful number.

105384596490000 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 8 + 4 + 596 + 49 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 104627612967696 + 756983522304 = 10228764^2 + 870048^2 .

It is a super-2 number, since 2×105384596490000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 58514489100 + ... + 58514490900.

Almost surely, 2^{105384596490000} is an apocalyptic number.

105384596490000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105384596490000 is the 10265700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105384596490000

105384596490000 is an abundant number, since it is smaller than the sum of its proper divisors (283794664429449).

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

105384596490000 is an frugal number, since it uses more digits than its factorization.

105384596490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 105384596490000 in words is "one hundred five trillion, three hundred eighty-four billion, five hundred ninety-six million, four hundred ninety thousand".