105429159 has 12 divisors (see below), whose sum is σ = 166130952. Its totient is φ = 63896400.

The previous prime is 105429151. The next prime is 105429179. The reversal of 105429159 is 951924501.

It is not a de Polignac number, because 105429159 - 2³ = 105429151 is a prime.

It is a super-2 number, since 2×105429159² = 22230615134894562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105429151) 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, 532372 + ... + 532569.

It is an arithmetic number, because the mean of its divisors is an integer number (13844246).

Almost surely, 2^105429159 is an apocalyptic number.

105429159 is a deficient number, since it is larger than the sum of its proper divisors (60701793).

105429159 is a wasteful number, since it uses less digits than its factorization.

105429159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064958 (or 1064955 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 105429159 is about 10267.8702270724. The cubic root of 105429159 is about 472.4112674562.

It can be divided in two parts, 10542 and 9159, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 105429159 in words is "one hundred five million, four hundred twenty-nine thousand, one hundred fifty-nine".