105288825 has 48 divisors (see below), whose sum is σ = 184559616. Its totient is φ = 52852800.

The previous prime is 105288809. The next prime is 105288829. The reversal of 105288825 is 528882501.

It is not a de Polignac number, because 105288825 - 2⁴ = 105288809 is a prime.

It is a super-2 number, since 2×105288825² = 22171473339761250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105288829) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 115120 + ... + 116030.

It is an arithmetic number, because the mean of its divisors is an integer number (3844992).

Almost surely, 2^105288825 is an apocalyptic number.

105288825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105288825 is a deficient number, since it is larger than the sum of its proper divisors (79270791).

105288825 is a wasteful number, since it uses less digits than its factorization.

105288825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 39.

The square root of 105288825 is about 10261.0343045913. The cubic root of 105288825 is about 472.2015696209.

The spelling of 105288825 in words is "one hundred five million, two hundred eighty-eight thousand, eight hundred twenty-five".