105285429 has 12 divisors (see below), whose sum is σ = 152713132. Its totient is φ = 69897600.

The previous prime is 105285409. The next prime is 105285431. The reversal of 105285429 is 924582501.

105285429 is a `hidden beast` number, since 105 + 2 + 8 + 542 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32182929 + 73102500 = 5673^2 + 8550^2 .

It is not a de Polignac number, because 105285429 - 2⁹ = 105284917 is a prime.

It is a super-2 number, since 2×105285429² = 22170043119428082, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105285393 and 105285402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105285409) 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 11 ways as a sum of consecutive naturals, for example, 22102 + ... + 26439.

Almost surely, 2^105285429 is an apocalyptic number.

It is an amenable number.

105285429 is a deficient number, since it is larger than the sum of its proper divisors (47427703).

105285429 is a wasteful number, since it uses less digits than its factorization.

105285429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48788 (or 48785 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 105285429 is about 10260.8688228629. The cubic root of 105285429 is about 472.1964927486.

The spelling of 105285429 in words is "one hundred five million, two hundred eighty-five thousand, four hundred twenty-nine".