105402129 has 16 divisors (see below), whose sum is σ = 160913280. Its totient is φ = 60117120.

The previous prime is 105402119. The next prime is 105402131. The reversal of 105402129 is 921204501.

It is not a de Polignac number, because 105402129 - 2⁴ = 105402113 is a prime.

It is a super-2 number, since 2×105402129² = 22219217595465282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105402099 and 105402108.

It is not an unprimeable number, because it can be changed into a prime (105402109) 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, 7539 + ... + 16359.

It is an arithmetic number, because the mean of its divisors is an integer number (10057080).

Almost surely, 2^105402129 is an apocalyptic number.

It is an amenable number.

105402129 is a deficient number, since it is larger than the sum of its proper divisors (55511151).

105402129 is an equidigital number, since it uses as much as digits as its factorization.

105402129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9400.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 105402129 is about 10266.5539008959. The cubic root of 105402129 is about 472.3708916307.

The spelling of 105402129 in words is "one hundred five million, four hundred two thousand, one hundred twenty-nine".