105223755 has 64 divisors (see below), whose sum is σ = 208954368. Its totient is φ = 44029440.

The previous prime is 105223751. The next prime is 105223759. The reversal of 105223755 is 557322501.

105223755 = T₁₄₇₅ + T₁₄₇₆ + ... + T₁₅₆₅.

It is an interprime number because it is at equal distance from previous prime (105223751) and next prime (105223759).

It is not a de Polignac number, because 105223755 - 2² = 105223751 is a prime.

It is a super-2 number, since 2×105223755² = 22144077232600050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105223751) 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 63 ways as a sum of consecutive naturals, for example, 214060 + ... + 214550.

It is an arithmetic number, because the mean of its divisors is an integer number (3264912).

Almost surely, 2^105223755 is an apocalyptic number.

105223755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105223755 is a deficient number, since it is larger than the sum of its proper divisors (103730613).

105223755 is a wasteful number, since it uses less digits than its factorization.

105223755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676.

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 105223755 is about 10257.8630815585. The cubic root of 105223755 is about 472.1042737998.

The spelling of 105223755 in words is "one hundred five million, two hundred twenty-three thousand, seven hundred fifty-five".