105510925 has 48 divisors (see below), whose sum is σ = 151396560. Its totient is φ = 72683520.

The previous prime is 105510919. The next prime is 105510929. The reversal of 105510925 is 529015501.

It can be written as a sum of positive squares in 24 ways, for example, as 80048809 + 25462116 = 8947^2 + 5046^2 .

It is not a de Polignac number, because 105510925 - 2⁵ = 105510893 is a prime.

It is a super-2 number, since 2×105510925² = 22265110588711250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105510893 and 105510902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105510929) 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, 933669 + ... + 933781.

It is an arithmetic number, because the mean of its divisors is an integer number (3154095).

Almost surely, 2^105510925 is an apocalyptic number.

It is an amenable number.

105510925 is a deficient number, since it is larger than the sum of its proper divisors (45885635).

105510925 is a wasteful number, since it uses less digits than its factorization.

105510925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 28.

The square root of 105510925 is about 10271.8510989987. The cubic root of 105510925 is about 472.5333627049.

The spelling of 105510925 in words is "one hundred five million, five hundred ten thousand, nine hundred twenty-five".