105608660446440 has 96 divisors (see below), whose sum is σ = 343448307446400. Its totient is φ = 28144244960640.

The previous prime is 105608660446423. The next prime is 105608660446481. The reversal of 105608660446440 is 44644066806501.

105608660446440 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 0 + 86 + 60 + 4 + 464 + 40 = 666.

It is a super-2 number, since 2×105608660446440² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93523876 + ... + 94646355.

It is an arithmetic number, because the mean of its divisors is an integer number (3577586535900).

Almost surely, 2^{105608660446440} is an apocalyptic number.

105608660446440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105608660446440 is an abundant number, since it is smaller than the sum of its proper divisors (237839646999960).

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

105608660446440 is a wasteful number, since it uses less digits than its factorization.

105608660446440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188171807 (or 188171800 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 105608660446440 in words is "one hundred five trillion, six hundred eight billion, six hundred sixty million, four hundred forty-six thousand, four hundred forty".