105447661565400 has 1728 divisors, whose sum is σ = 451564285536000. Its totient is φ = 21582397900800.

The previous prime is 105447661565383. The next prime is 105447661565413. The reversal of 105447661565400 is 4565166744501.

105447661565400 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 4 + 76 + 6 + 1 + 565 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×105447661565400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 50237093551 + ... + 50237095649.

It is an arithmetic number, because the mean of its divisors is an integer number (261321924500).

Almost surely, 2^{105447661565400} is an apocalyptic number.

105447661565400 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 105447661565400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225782142768000).

105447661565400 is an abundant number, since it is smaller than the sum of its proper divisors (346116623970600).

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

105447661565400 is a wasteful number, since it uses less digits than its factorization.

105447661565400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 105447661565400 in words is "one hundred five trillion, four hundred forty-seven billion, six hundred sixty-one million, five hundred sixty-five thousand, four hundred".