105011387876 has 12 divisors (see below), whose sum is σ = 183822205308. Its totient is φ = 52490757792.

The previous prime is 105011387863. The next prime is 105011387879. The reversal of 105011387876 is 678783110501.

It can be written as a sum of positive squares in 2 ways, for example, as 70530611776 + 34480776100 = 265576^2 + 185690^2 .

It is a super-2 number, since 2×105011387876² (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 105011387876.

It is not an unprimeable number, because it can be changed into a prime (105011387879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3718211 + ... + 3746346.

It is an arithmetic number, because the mean of its divisors is an integer number (15318517109).

Almost surely, 2^105011387876 is an apocalyptic number.

It is an amenable number.

105011387876 is a deficient number, since it is larger than the sum of its proper divisors (78810817432).

105011387876 is a wasteful number, since it uses less digits than its factorization.

105011387876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7468078 (or 7468076 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 47.

The spelling of 105011387876 in words is "one hundred five billion, eleven million, three hundred eighty-seven thousand, eight hundred seventy-six".