106105500111 has 16 divisors (see below), whose sum is σ = 152540889984. Its totient is φ = 65216717664.

The previous prime is 106105500097. The next prime is 106105500167. The reversal of 106105500111 is 111005501601.

It is a happy number.

It is not a de Polignac number, because 106105500111 - 2⁵ = 106105500079 is a prime.

It is a super-2 number, since 2×106105500111² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105500811) 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 15 ways as a sum of consecutive naturals, for example, 1612641 + ... + 1677146.

It is an arithmetic number, because the mean of its divisors is an integer number (9533805624).

Almost surely, 2^106105500111 is an apocalyptic number.

106105500111 is a deficient number, since it is larger than the sum of its proper divisors (46435389873).

106105500111 is a wasteful number, since it uses less digits than its factorization.

106105500111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290630.

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 106105500111 in words is "one hundred six billion, one hundred five million, five hundred thousand, one hundred eleven".