105536125 has 8 divisors (see below), whose sum is σ = 131709240. Its totient is φ = 84428800.

The previous prime is 105536117. The next prime is 105536129. The reversal of 105536125 is 521635501.

It can be written as a sum of positive squares in 4 ways, for example, as 248004 + 105288121 = 498^2 + 10261^2 .

It is not a de Polignac number, because 105536125 - 2³ = 105536117 is a prime.

It is a super-2 number, since 2×105536125² = 22275747360031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105536093 and 105536102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105536129) 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, 422020 + ... + 422269.

It is an arithmetic number, because the mean of its divisors is an integer number (16463655).

Almost surely, 2^105536125 is an apocalyptic number.

It is an amenable number.

105536125 is a deficient number, since it is larger than the sum of its proper divisors (26173115).

105536125 is an frugal number, since it uses more digits than its factorization.

105536125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844304 (or 844294 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 105536125 is about 10273.0776790600. The cubic root of 105536125 is about 472.5709793241.

The spelling of 105536125 in words is "one hundred five million, five hundred thirty-six thousand, one hundred twenty-five".