105541353066240 has 864 divisors, whose sum is σ = 456798247790976. Its totient is φ = 21903002173440.

The previous prime is 105541353066187. The next prime is 105541353066241. The reversal of 105541353066240 is 42660353145501.

It is a happy number.

105541353066240 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 4 + 13 + 5 + 3 + 0 + 6 + 624 + 0 = 666.

It is a super-2 number, since 2×105541353066240² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105541353066241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63122302 + ... + 64772738.

It is an arithmetic number, because the mean of its divisors is an integer number (528701675684).

Almost surely, 2^{105541353066240} is an apocalyptic number.

105541353066240 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 105541353066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228399123895488).

105541353066240 is an abundant number, since it is smaller than the sum of its proper divisors (351256894724736).

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

105541353066240 is a wasteful number, since it uses less digits than its factorization.

105541353066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650545 (or 1650528 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 105541353066240 in words is "one hundred five trillion, five hundred forty-one billion, three hundred fifty-three million, sixty-six thousand, two hundred forty".