105827216276 has 24 divisors (see below), whose sum is σ = 185794777896. Its totient is φ = 52743075840.

The previous prime is 105827216263. The next prime is 105827216309. The reversal of 105827216276 is 672612728501.

It can be written as a sum of positive squares in 4 ways, for example, as 17088764176 + 88738452100 = 130724^2 + 297890^2 .

It is a super-2 number, since 2×105827216276² (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 105827216276.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7132946 + ... + 7147766.

It is an arithmetic number, because the mean of its divisors is an integer number (7741449079).

Almost surely, 2^105827216276 is an apocalyptic number.

It is an amenable number.

105827216276 is a deficient number, since it is larger than the sum of its proper divisors (79967561620).

105827216276 is a wasteful number, since it uses less digits than its factorization.

105827216276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20459 (or 20457 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 105827216276 in words is "one hundred five billion, eight hundred twenty-seven million, two hundred sixteen thousand, two hundred seventy-six".