105564466336 has 144 divisors (see below), whose sum is σ = 257012753760. Its totient is φ = 42435187200.

The previous prime is 105564466309. The next prime is 105564466367. The reversal of 105564466336 is 633664465501.

It is a super-2 number, since 2×105564466336² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 105564466336.

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, 2991451 + ... + 3026533.

It is an arithmetic number, because the mean of its divisors is an integer number (1784810790).

Almost surely, 2^105564466336 is an apocalyptic number.

105564466336 is a gapful number since it is divisible by the number (16) 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 105564466336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128506376880).

105564466336 is an abundant number, since it is smaller than the sum of its proper divisors (151448287424).

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

105564466336 is a wasteful number, since it uses less digits than its factorization.

105564466336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35227 (or 35212 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 49.

The spelling of 105564466336 in words is "one hundred five billion, five hundred sixty-four million, four hundred sixty-six thousand, three hundred thirty-six".