105649468864 has 56 divisors (see below), whose sum is σ = 219069757440. Its totient is φ = 50457225984.

The previous prime is 105649468853. The next prime is 105649468879. The reversal of 105649468864 is 468864946501.

It is a happy number.

It is a super-2 number, since 2×105649468864² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008457 + ... + 1108279.

Almost surely, 2^105649468864 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 105649468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109534878720).

105649468864 is an abundant number, since it is smaller than the sum of its proper divisors (113420288576).

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

105649468864 is an equidigital number, since it uses as much as digits as its factorization.

105649468864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100577 (or 100567 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 105649468864 in words is "one hundred five billion, six hundred forty-nine million, four hundred sixty-eight thousand, eight hundred sixty-four".