105942860559360 has 2112 divisors, whose sum is σ = 452039226163200. Its totient is φ = 22607482060800.

The previous prime is 105942860559331. The next prime is 105942860559461. The reversal of 105942860559360 is 63955068249501.

105942860559360 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 42 + 8 + 6 + 0 + 559 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×105942860559360² (a number of 29 digits) contains 22 as substring.

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, 12934052865 + ... + 12934061055.

Almost surely, 2^{105942860559360} is an apocalyptic number.

105942860559360 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 105942860559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226019613081600).

105942860559360 is an abundant number, since it is smaller than the sum of its proper divisors (346096365603840).

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

105942860559360 is a wasteful number, since it uses less digits than its factorization.

105942860559360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8348 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 105942860559360 in words is "one hundred five trillion, nine hundred forty-two billion, eight hundred sixty million, five hundred fifty-nine thousand, three hundred sixty".