105065000610111 has 16 divisors (see below), whose sum is σ = 156201859313920. Its totient is φ = 69795830788920.

The previous prime is 105065000610103. The next prime is 105065000610121. The reversal of 105065000610111 is 111016000560501.

105065000610111 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 650 + 0 + 0 + 6 + 1 + 0 + 1 + 1 + 1 = 666.

It is not a de Polignac number, because 105065000610111 - 2³ = 105065000610103 is a prime.

It is a super-2 number, since 2×105065000610111² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105065000610121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6875074195 + ... + 6875089476.

It is an arithmetic number, because the mean of its divisors is an integer number (9762616207120).

Almost surely, 2^{105065000610111} is an apocalyptic number.

105065000610111 is a deficient number, since it is larger than the sum of its proper divisors (51136858703809).

105065000610111 is a wasteful number, since it uses less digits than its factorization.

105065000610111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13750163963 (or 13750163957 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 105065000610111 in words is "one hundred five trillion, sixty-five billion, six hundred ten thousand, one hundred eleven".