105314825 has 24 divisors (see below), whose sum is σ = 162816960. Its totient is φ = 65649600.

The previous prime is 105314801. The next prime is 105314849. The reversal of 105314825 is 528413501.

It is an interprime number because it is at equal distance from previous prime (105314801) and next prime (105314849).

It is not a de Polignac number, because 105314825 - 2⁶ = 105314761 is a prime.

It is a super-2 number, since 2×105314825² = 22182424729561250, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25430 + ... + 29279.

It is an arithmetic number, because the mean of its divisors is an integer number (6784040).

Almost surely, 2^105314825 is an apocalyptic number.

It is an amenable number.

105314825 is a deficient number, since it is larger than the sum of its proper divisors (57502135).

105314825 is a wasteful number, since it uses less digits than its factorization.

105314825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54737 (or 54732 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 105314825 is about 10262.3011551991. The cubic root of 105314825 is about 472.2404348736.

The spelling of 105314825 in words is "one hundred five million, three hundred fourteen thousand, eight hundred twenty-five".