128106105 has 24 divisors (see below), whose sum is σ = 211818816. Its totient is φ = 66111840.

The previous prime is 128106103. The next prime is 128106107. The reversal of 128106105 is 501601821.

It is an interprime number because it is at equal distance from previous prime (128106103) and next prime (128106107).

It is not a de Polignac number, because 128106105 - 2¹ = 128106103 is a prime.

It is a super-2 number, since 2×128106105² = 32822348276542050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (128106103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9972 + ... + 18858.

It is an arithmetic number, because the mean of its divisors is an integer number (8825784).

Almost surely, 2^128106105 is an apocalyptic number.

128106105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128106105 is a deficient number, since it is larger than the sum of its proper divisors (83712711).

128106105 is an equidigital number, since it uses as much as digits as its factorization.

128106105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8957 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 128106105 is about 11318.3967504236. The cubic root of 128106105 is about 504.1076355841.

Adding to 128106105 its reverse (501601821), we get a palindrome (629707926).

It can be divided in two parts, 12810 and 6105, that added together give a triangular number (18915 = T₁₉₄).

The spelling of 128106105 in words is "one hundred twenty-eight million, one hundred six thousand, one hundred five".