105144129 has 8 divisors (see below), whose sum is σ = 155769120. Its totient is φ = 70096068.

The previous prime is 105144107. The next prime is 105144173. The reversal of 105144129 is 921441501.

It is not a de Polignac number, because 105144129 - 2⁷ = 105144001 is a prime.

It is a super-2 number, since 2×105144129² = 22110575726337282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3894227 = 105144129 / (1 + 0 + 5 + 1 + 4 + 4 + 1 + 2 + 9).

It is not an unprimeable number, because it can be changed into a prime (105144199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1947087 + ... + 1947140.

It is an arithmetic number, because the mean of its divisors is an integer number (19471140).

Almost surely, 2^105144129 is an apocalyptic number.

It is an amenable number.

105144129 is a deficient number, since it is larger than the sum of its proper divisors (50624991).

105144129 is an equidigital number, since it uses as much as digits as its factorization.

105144129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894236 (or 3894230 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105144129 is about 10253.9811292980. The cubic root of 105144129 is about 471.9851585513.

The spelling of 105144129 in words is "one hundred five million, one hundred forty-four thousand, one hundred twenty-nine".