105223959 has 12 divisors (see below), whose sum is σ = 152278152. Its totient is φ = 70016400.

The previous prime is 105223903. The next prime is 105223961. The reversal of 105223959 is 959322501.

It is a happy number.

It is not a de Polignac number, because 105223959 - 2¹⁷ = 105092887 is a prime.

It is a super-2 number, since 2×105223959² = 22144163095267362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105223759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5937 + ... + 15674.

It is an arithmetic number, because the mean of its divisors is an integer number (12689846).

Almost surely, 2^105223959 is an apocalyptic number.

105223959 is a deficient number, since it is larger than the sum of its proper divisors (47054193).

105223959 is a wasteful number, since it uses less digits than its factorization.

105223959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22158 (or 22155 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 105223959 is about 10257.8730251451. The cubic root of 105223959 is about 472.1045788932.

The spelling of 105223959 in words is "one hundred five million, two hundred twenty-three thousand, nine hundred fifty-nine".