105513429 has 16 divisors (see below), whose sum is σ = 165969920. Its totient is φ = 58348080.

The previous prime is 105513413. The next prime is 105513433. The reversal of 105513429 is 924315501.

It is not a de Polignac number, because 105513429 - 2⁴ = 105513413 is a prime.

It is a super-2 number, since 2×105513429² = 22266167398676082, 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 = 105513396 and 105513405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105513829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80389 + ... + 81690.

It is an arithmetic number, because the mean of its divisors is an integer number (10373120).

Almost surely, 2^105513429 is an apocalyptic number.

It is an amenable number.

105513429 is a deficient number, since it is larger than the sum of its proper divisors (60456491).

105513429 is a wasteful number, since it uses less digits than its factorization.

105513429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162120.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 105513429 is about 10271.9729847776. The cubic root of 105513429 is about 472.5371007513.

The spelling of 105513429 in words is "one hundred five million, five hundred thirteen thousand, four hundred twenty-nine".