105011005011111 has 20 divisors (see below), whose sum is σ = 157017832356000. Its totient is φ = 69940599404256.

The previous prime is 105011005011089. The next prime is 105011005011151. The reversal of 105011005011111 is 111110500110501.

105011005011111 is a `hidden beast` number, since 1 + 0 + 50 + 1 + 1 + 0 + 0 + 501 + 1 + 111 = 666.

It is not a de Polignac number, because 105011005011111 - 2⁷ = 105011005010983 is a prime.

It is a super-2 number, since 2×105011005011111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105011005011151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 617852191 + ... + 618022128.

It is an arithmetic number, because the mean of its divisors is an integer number (7850891617800).

Almost surely, 2^{105011005011111} is an apocalyptic number.

105011005011111 is a deficient number, since it is larger than the sum of its proper divisors (52006827344889).

105011005011111 is a wasteful number, since it uses less digits than its factorization.

105011005011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235875380 (or 1235875371 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 18.

Adding to 105011005011111 its reverse (111110500110501), we get a palindrome (216121505121612).

The spelling of 105011005011111 in words is "one hundred five trillion, eleven billion, five million, eleven thousand, one hundred eleven".