105192129 has 8 divisors (see below), whose sum is σ = 160292800. Its totient is φ = 60109776.

The previous prime is 105192127. The next prime is 105192137. The reversal of 105192129 is 921291501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105192129 - 2¹ = 105192127 is a prime.

It is a super-2 number, since 2×105192129² = 22130768007105282, 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 = 105192096 and 105192105.

It is not an unprimeable number, because it can be changed into a prime (105192127) 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 7 ways as a sum of consecutive naturals, for example, 2504554 + ... + 2504595.

It is an arithmetic number, because the mean of its divisors is an integer number (20036600).

Almost surely, 2^105192129 is an apocalyptic number.

It is an amenable number.

105192129 is a deficient number, since it is larger than the sum of its proper divisors (55100671).

105192129 is an equidigital number, since it uses as much as digits as its factorization.

105192129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009159.

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 105192129 is about 10256.3214165704. The cubic root of 105192129 is about 472.0569705843.

The spelling of 105192129 in words is "one hundred five million, one hundred ninety-two thousand, one hundred twenty-nine".