105332486111424 has 1680 divisors, whose sum is σ = 393793001226240. Its totient is φ = 27573248102400.

The previous prime is 105332486111417. The next prime is 105332486111453. The reversal of 105332486111424 is 424111684233501.

It is a happy number.

105332486111424 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 3 + 2 + 4 + 8 + 611 + 1 + 4 + 24 = 666.

It is a super-2 number, since 2×105332486111424² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105332486111424.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12859535169 + ... + 12859543359.

It is an arithmetic number, because the mean of its divisors is an integer number (234400595968).

Almost surely, 2^{105332486111424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105332486111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196896500613120).

105332486111424 is an abundant number, since it is smaller than the sum of its proper divisors (288460515114816).

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

105332486111424 is a wasteful number, since it uses less digits than its factorization.

105332486111424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8352 (or 8322 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 105332486111424 in words is "one hundred five trillion, three hundred thirty-two billion, four hundred eighty-six million, one hundred eleven thousand, four hundred twenty-four".