105328275 has 48 divisors (see below), whose sum is σ = 190821120. Its totient is φ = 50947200.

The previous prime is 105328271. The next prime is 105328283. The reversal of 105328275 is 572823501.

It is not a de Polignac number, because 105328275 - 2² = 105328271 is a prime.

It is a super-2 number, since 2×105328275² = 22188091028951250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105328271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56610 + ... + 58440.

It is an arithmetic number, because the mean of its divisors is an integer number (3975440).

Almost surely, 2^105328275 is an apocalyptic number.

105328275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105328275 is a deficient number, since it is larger than the sum of its proper divisors (85492845).

105328275 is a wasteful number, since it uses less digits than its factorization.

105328275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 105328275 is about 10262.9564453914. The cubic root of 105328275 is about 472.2605376574.

The spelling of 105328275 in words is "one hundred five million, three hundred twenty-eight thousand, two hundred seventy-five".