105732285603840 has 3584 divisors, whose sum is σ = 461315753902080. Its totient is φ = 22473709977600.

The previous prime is 105732285603683. The next prime is 105732285603863. The reversal of 105732285603840 is 48306582237501.

105732285603840 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 3 + 2 + 2 + 8 + 560 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-4 number, since 4×105732285603840⁴ (a number of 57 digits) contains 4444 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 832537681857 + ... + 832537681983.

It is an arithmetic number, because the mean of its divisors is an integer number (128715333120).

Almost surely, 2^{105732285603840} is an apocalyptic number.

105732285603840 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 105732285603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230657876951040).

105732285603840 is an abundant number, since it is smaller than the sum of its proper divisors (355583468298240).

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

105732285603840 is a wasteful number, since it uses less digits than its factorization.

105732285603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 105732285603840 in words is "one hundred five trillion, seven hundred thirty-two billion, two hundred eighty-five million, six hundred three thousand, eight hundred forty".