105113403216 has 50 divisors (see below), whose sum is σ = 304228688522. Its totient is φ = 35037800640.

The previous prime is 105113403211. The next prime is 105113403217. The reversal of 105113403216 is 612304311501.

It is a happy number.

105113403216 is a `hidden beast` number, since 105 + 1 + 1 + 340 + 3 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91119459600 + 13993943616 = 301860^2 + 118296^2 .

It is a super-2 number, since 2×105113403216² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105113403216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105113403211) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40551715 + ... + 40554306.

Almost surely, 2^105113403216 is an apocalyptic number.

105113403216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105113403216 is an abundant number, since it is smaller than the sum of its proper divisors (199115285306).

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

105113403216 is an equidigital number, since it uses as much as digits as its factorization.

105113403216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81106041 (or 81106026 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 105113403216 its reverse (612304311501), we get a palindrome (717417714717).

The spelling of 105113403216 in words is "one hundred five billion, one hundred thirteen million, four hundred three thousand, two hundred sixteen".