105401518336 has 81 divisors (see below), whose sum is σ = 213537697401. Its totient is φ = 51924182016.

The previous prime is 105401518303. The next prime is 105401518337. The reversal of 105401518336 is 633815104501.

The square root of 105401518336 is 324656.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 103272249600 + 2129268736 = 321360^2 + 46144^2 .

It is a super-2 number, since 2×105401518336² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105401518295 and 105401518304.

It is not an unprimeable number, because it can be changed into a prime (105401518337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 535032990 + ... + 535033186.

Almost surely, 2^105401518336 is an apocalyptic number.

105401518336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105401518336 is the 324656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105401518336

105401518336 is an abundant number, since it is smaller than the sum of its proper divisors (108136179065).

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

105401518336 is an frugal number, since it uses more digits than its factorization.

105401518336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 105401518336 in words is "one hundred five billion, four hundred one million, five hundred eighteen thousand, three hundred thirty-six".