105802002216 has 48 divisors (see below), whose sum is σ = 296428029300. Its totient is φ = 34051218432.

The previous prime is 105802002143. The next prime is 105802002223. The reversal of 105802002216 is 612200208501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100518166116 + 5283836100 = 317046^2 + 72690^2 .

It is a super-2 number, since 2×105802002216² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105802002216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25333641 + ... + 25337816.

Almost surely, 2^105802002216 is an apocalyptic number.

It is an amenable number.

105802002216 is an abundant number, since it is smaller than the sum of its proper divisors (190626027084).

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

105802002216 is a wasteful number, since it uses less digits than its factorization.

105802002216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50671498 (or 50671491 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 105802002216 in words is "one hundred five billion, eight hundred two million, two thousand, two hundred sixteen".