105885674271360 has 1536 divisors, whose sum is σ = 408209492920320. Its totient is φ = 26165640314880.

The previous prime is 105885674271347. The next prime is 105885674271367. The reversal of 105885674271360 is 63172476588501.

It is a happy number.

105885674271360 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 8 + 567 + 4 + 2 + 7 + 1 + 3 + 60 = 666.

It is a super-2 number, since 2×105885674271360² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105885674271367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14619031899 + ... + 14619039141.

It is an arithmetic number, because the mean of its divisors is an integer number (265761388620).

Almost surely, 2^{105885674271360} is an apocalyptic number.

105885674271360 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 105885674271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204104746460160).

105885674271360 is an abundant number, since it is smaller than the sum of its proper divisors (302323818648960).

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

105885674271360 is an equidigital number, since it uses as much as digits as its factorization.

105885674271360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7428 (or 7404 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 105885674271360 in words is "one hundred five trillion, eight hundred eighty-five billion, six hundred seventy-four million, two hundred seventy-one thousand, three hundred sixty".