105894247104 has 280 divisors, whose sum is σ = 320536933728. Its totient is φ = 34557788160.

The previous prime is 105894247027. The next prime is 105894247111. The reversal of 105894247104 is 401742498501.

105894247104 is a `hidden beast` number, since 10 + 589 + 4 + 2 + 47 + 10 + 4 = 666.

It is a super-2 number, since 2×105894247104² (a number of 23 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 105894247104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81268917 + ... + 81270219.

Almost surely, 2^105894247104 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 105894247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160268466864).

105894247104 is an abundant number, since it is smaller than the sum of its proper divisors (214642686624).

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

105894247104 is a wasteful number, since it uses less digits than its factorization.

105894247104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 105894247104 in words is "one hundred five billion, eight hundred ninety-four million, two hundred forty-seven thousand, one hundred four".