105611155116111 has 12 divisors (see below), whose sum is σ = 161522943118992. Its totient is φ = 66265822817856.

The previous prime is 105611155116037. The next prime is 105611155116139. The reversal of 105611155116111 is 111611551116501.

105611155116111 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 11 + 15 + 5 + 11 + 611 + 1 = 666.

It is not a de Polignac number, because 105611155116111 - 2²³ = 105611146727503 is a prime.

It is a super-2 number, since 2×105611155116111² (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 (105611155106111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345134493691 + ... + 345134493996.

It is an arithmetic number, because the mean of its divisors is an integer number (13460245259916).

Almost surely, 2^{105611155116111} is an apocalyptic number.

105611155116111 is a deficient number, since it is larger than the sum of its proper divisors (55911788002881).

105611155116111 is a wasteful number, since it uses less digits than its factorization.

105611155116111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690268987710 (or 690268987707 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 36.

The spelling of 105611155116111 in words is "one hundred five trillion, six hundred eleven billion, one hundred fifty-five million, one hundred sixteen thousand, one hundred eleven".