105357129 has 8 divisors (see below), whose sum is σ = 142168992. Its totient is φ = 69391680.

The previous prime is 105357121. The next prime is 105357157. The reversal of 105357129 is 921753501.

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

It is not a de Polignac number, because 105357129 - 2³ = 105357121 is a prime.

It is a super-2 number, since 2×105357129² = 22200249262245282, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 105357129.

It is not an unprimeable number, because it can be changed into a prime (105357121) 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, 211312 + ... + 211809.

It is an arithmetic number, because the mean of its divisors is an integer number (17771124).

Almost surely, 2^105357129 is an apocalyptic number.

It is an amenable number.

105357129 is a deficient number, since it is larger than the sum of its proper divisors (36811863).

105357129 is an equidigital number, since it uses as much as digits as its factorization.

105357129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423207.

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 105357129 is about 10264.3620844162. The cubic root of 105357129 is about 472.3036579606.

The spelling of 105357129 in words is "one hundred five million, three hundred fifty-seven thousand, one hundred twenty-nine".