105300529 has 8 divisors (see below), whose sum is σ = 107532360. Its totient is φ = 103090176.

The previous prime is 105300497. The next prime is 105300541. The reversal of 105300529 is 925003501.

It can be written as a sum of positive squares in 4 ways, for example, as 37271025 + 68029504 = 6105^2 + 8248^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105300529 - 2⁵ = 105300497 is a prime.

It is a super-2 number, since 2×105300529² = 22176402815359682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105300589) 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, 4737 + ... + 15265.

It is an arithmetic number, because the mean of its divisors is an integer number (13441545).

Almost surely, 2^105300529 is an apocalyptic number.

It is an amenable number.

105300529 is a deficient number, since it is larger than the sum of its proper divisors (2231831).

105300529 is a wasteful number, since it uses less digits than its factorization.

105300529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10739.

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 105300529 is about 10261.6046016205. The cubic root of 105300529 is about 472.2190657557.

The spelling of 105300529 in words is "one hundred five million, three hundred thousand, five hundred twenty-nine".