105310755 has 48 divisors (see below), whose sum is σ = 204029280. Its totient is φ = 49804800.

The previous prime is 105310753. The next prime is 105310759. The reversal of 105310755 is 557013501.

It is not a de Polignac number, because 105310755 - 2¹ = 105310753 is a prime.

It is a super-2 number, since 2×105310755² = 22180710237340050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105310753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17701 + ... + 22889.

It is an arithmetic number, because the mean of its divisors is an integer number (4250610).

Almost surely, 2^105310755 is an apocalyptic number.

105310755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105310755 is a deficient number, since it is larger than the sum of its proper divisors (98718525).

105310755 is a wasteful number, since it uses less digits than its factorization.

105310755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 105310755 is about 10262.1028546785. The cubic root of 105310755 is about 472.2343513891.

The spelling of 105310755 in words is "one hundred five million, three hundred ten thousand, seven hundred fifty-five".