105336350560 has 144 divisors (see below), whose sum is σ = 289894535280. Its totient is φ = 36064465920.

The previous prime is 105336350519. The next prime is 105336350563. The reversal of 105336350560 is 65053633501.

It is a super-2 number, since 2×105336350560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105336350563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5784670 + ... + 5802850.

It is an arithmetic number, because the mean of its divisors is an integer number (2013156495).

Almost surely, 2^105336350560 is an apocalyptic number.

105336350560 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 105336350560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144947267640).

105336350560 is an abundant number, since it is smaller than the sum of its proper divisors (184558184720).

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

105336350560 is a wasteful number, since it uses less digits than its factorization.

105336350560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18949 (or 18934 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 37.

The spelling of 105336350560 in words is "one hundred five billion, three hundred thirty-six million, three hundred fifty thousand, five hundred sixty".