105353235 has 48 divisors (see below), whose sum is σ = 199434144. Its totient is φ = 51134976.

The previous prime is 105353207. The next prime is 105353249. The reversal of 105353235 is 532353501.

It is not a de Polignac number, because 105353235 - 2⁷ = 105353107 is a prime.

It is a super-2 number, since 2×105353235² = 22198608249930450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105353199 and 105353208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41472 + ... + 43938.

It is an arithmetic number, because the mean of its divisors is an integer number (4154878).

Almost surely, 2^105353235 is an apocalyptic number.

105353235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105353235 is a deficient number, since it is larger than the sum of its proper divisors (94080909).

105353235 is a wasteful number, since it uses less digits than its factorization.

105353235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 105353235 is about 10264.1723972272. The cubic root of 105353235 is about 472.2978391070.

The spelling of 105353235 in words is "one hundred five million, three hundred fifty-three thousand, two hundred thirty-five".