128892105 has 48 divisors (see below), whose sum is σ = 236545920. Its totient is φ = 64744704.

The previous prime is 128892089. The next prime is 128892107. The reversal of 128892105 is 501298821.

It is not a de Polignac number, because 128892105 - 2⁴ = 128892089 is a prime.

It is a super-2 number, since 2×128892105² = 33226349462662050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 128892105.

It is not an unprimeable number, because it can be changed into a prime (128892107) 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 47 ways as a sum of consecutive naturals, for example, 198892 + ... + 199538.

It is an arithmetic number, because the mean of its divisors is an integer number (4928040).

Almost surely, 2^128892105 is an apocalyptic number.

128892105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128892105 is a deficient number, since it is larger than the sum of its proper divisors (107653815).

128892105 is a wasteful number, since it uses less digits than its factorization.

128892105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 128892105 is about 11353.0658854778. The cubic root of 128892105 is about 505.1365248627.

The spelling of 128892105 in words is "one hundred twenty-eight million, eight hundred ninety-two thousand, one hundred five".