105118429 has 8 divisors (see below), whose sum is σ = 119863800. Its totient is φ = 91324416.

The previous prime is 105118381. The next prime is 105118459. The reversal of 105118429 is 924811501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12766329 + 92352100 = 3573^2 + 9610^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105118429 - 2⁹ = 105117917 is a prime.

It is a super-2 number, since 2×105118429² = 22099768230856082, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105118429.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105118459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237604 + ... + 238045.

It is an arithmetic number, because the mean of its divisors is an integer number (14982975).

Almost surely, 2^105118429 is an apocalyptic number.

It is an amenable number.

105118429 is a deficient number, since it is larger than the sum of its proper divisors (14745371).

105118429 is a wasteful number, since it uses less digits than its factorization.

105118429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475679.

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 105118429 is about 10252.7278809105. The cubic root of 105118429 is about 471.9467002081.

The spelling of 105118429 in words is "one hundred five million, one hundred eighteen thousand, four hundred twenty-nine".