105942129 has 16 divisors (see below), whose sum is σ = 143856000. Its totient is φ = 69339776.

The previous prime is 105942127. The next prime is 105942131. The reversal of 105942129 is 921249501.

It is an interprime number because it is at equal distance from previous prime (105942127) and next prime (105942131).

It is a cyclic number.

It is not a de Polignac number, because 105942129 - 2¹ = 105942127 is a prime.

It is a super-2 number, since 2×105942129² = 22447469394105282, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105942129.

It is not an unprimeable number, because it can be changed into a prime (105942127) 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, 38452 + ... + 41114.

It is an arithmetic number, because the mean of its divisors is an integer number (8991000).

Almost surely, 2^105942129 is an apocalyptic number.

It is an amenable number.

105942129 is a deficient number, since it is larger than the sum of its proper divisors (37913871).

105942129 is a wasteful number, since it uses less digits than its factorization.

105942129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 105942129 is about 10292.8192930800. The cubic root of 105942129 is about 473.1762071316.

The spelling of 105942129 in words is "one hundred five million, nine hundred forty-two thousand, one hundred twenty-nine".