105011111011016 has 48 divisors (see below), whose sum is σ = 230500958579100. Its totient is φ = 44718107301504.

The previous prime is 105011111010907. The next prime is 105011111011033. The reversal of 105011111011016 is 610110111110501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 104584370222500 + 426740788516 = 10226650^2 + 653254^2 .

It is a super-2 number, since 2×105011111011016² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 853076951 + ... + 853200038.

Almost surely, 2^{105011111011016} is an apocalyptic number.

It is an amenable number.

105011111011016 is an abundant number, since it is smaller than the sum of its proper divisors (125489847568084).

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

105011111011016 is a wasteful number, since it uses less digits than its factorization.

105011111011016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706277166 (or 1706277155 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 20.

Adding to 105011111011016 its reverse (610110111110501), we get a palindrome (715121222121517).

The spelling of 105011111011016 in words is "one hundred five trillion, eleven billion, one hundred eleven million, eleven thousand, sixteen".