105355128 has 32 divisors (see below), whose sum is σ = 264056400. Its totient is φ = 35029248.

The previous prime is 105355127. The next prime is 105355139. The reversal of 105355128 is 821553501.

It is a super-2 number, since 2×105355128² = 22199405991792768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105355095 and 105355104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105355121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4450 + ... + 15182.

Almost surely, 2^105355128 is an apocalyptic number.

It is an amenable number.

105355128 is an abundant number, since it is smaller than the sum of its proper divisors (158701272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105355128 is a wasteful number, since it uses less digits than its factorization.

105355128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11151 (or 11147 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 105355128 is about 10264.2646107746. The cubic root of 105355128 is about 472.3006678588.

The spelling of 105355128 in words is "one hundred five million, three hundred fifty-five thousand, one hundred twenty-eight".