106000105855 has 16 divisors (see below), whose sum is σ = 145392952320. Its totient is φ = 72675097632.

The previous prime is 106000105853. The next prime is 106000105859. The reversal of 106000105855 is 558501000601.

It is a cyclic number.

It is not a de Polignac number, because 106000105855 - 2¹ = 106000105853 is a prime.

It is a super-2 number, since 2×106000105855² (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 (106000105853) 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, 22506 + ... + 460984.

It is an arithmetic number, because the mean of its divisors is an integer number (9087059520).

Almost surely, 2^106000105855 is an apocalyptic number.

106000105855 is a deficient number, since it is larger than the sum of its proper divisors (39392846465).

106000105855 is an equidigital number, since it uses as much as digits as its factorization.

106000105855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445398.

The product of its (nonzero) digits is 6000, while the sum is 31.

The spelling of 106000105855 in words is "one hundred six billion, one hundred five thousand, eight hundred fifty-five".