105705403341120 has 1344 divisors, whose sum is σ = 418257698611200. Its totient is φ = 25421189713920.

The previous prime is 105705403341119. The next prime is 105705403341211. The reversal of 105705403341120 is 21143304507501.

105705403341120 is a `hidden beast` number, since 1 + 0 + 5 + 70 + 540 + 3 + 3 + 41 + 1 + 2 + 0 = 666.

It is a super-3 number, since 3×105705403341120³ (a number of 43 digits) contains 333 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10754436366 + ... + 10754446194.

It is an arithmetic number, because the mean of its divisors is an integer number (311203644800).

Almost surely, 2^{105705403341120} is an apocalyptic number.

105705403341120 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 105705403341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209128849305600).

105705403341120 is an abundant number, since it is smaller than the sum of its proper divisors (312552295270080).

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

105705403341120 is an equidigital number, since it uses as much as digits as its factorization.

105705403341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016 (or 9977 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 105705403341120 its reverse (21143304507501), we get a palindrome (126848707848621).

The spelling of 105705403341120 in words is "one hundred five trillion, seven hundred five billion, four hundred three million, three hundred forty-one thousand, one hundred twenty".