105654036720960 has 2016 divisors, whose sum is σ = 463059209182752. Its totient is φ = 21911867228160.

The previous prime is 105654036720937. The next prime is 105654036721087. The reversal of 105654036720960 is 69027630456501.

105654036720960 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 540 + 3 + 6 + 7 + 2 + 0 + 96 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 40457842979904 + 65196193741056 = 6360648^2 + 8074416^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×105654036720960² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105654036720897 and 105654036720906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 45132009390 + ... + 45132011730.

It is an arithmetic number, because the mean of its divisors is an integer number (229692068047).

Almost surely, 2^{105654036720960} is an apocalyptic number.

105654036720960 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 105654036720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231529604591376).

105654036720960 is an abundant number, since it is smaller than the sum of its proper divisors (357405172461792).

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

105654036720960 is a wasteful number, since it uses less digits than its factorization.

105654036720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 105654036720960 in words is "one hundred five trillion, six hundred fifty-four billion, thirty-six million, seven hundred twenty thousand, nine hundred sixty".