105525965 has 8 divisors (see below), whose sum is σ = 128054520. Its totient is φ = 83471872.

The previous prime is 105525929. The next prime is 105525967. The reversal of 105525965 is 569525501.

It can be written as a sum of positive squares in 4 ways, for example, as 15389929 + 90136036 = 3923^2 + 9494^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105525965 is a prime.

It is a super-2 number, since 2×105525965² = 22271458578362450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105525967) 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 7 ways as a sum of consecutive naturals, for example, 118124 + ... + 119013.

It is an arithmetic number, because the mean of its divisors is an integer number (16006815).

Almost surely, 2^105525965 is an apocalyptic number.

It is an amenable number.

105525965 is a deficient number, since it is larger than the sum of its proper divisors (22528555).

105525965 is an equidigital number, since it uses as much as digits as its factorization.

105525965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237231.

The product of its (nonzero) digits is 67500, while the sum is 38.

The square root of 105525965 is about 10272.5831707512. The cubic root of 105525965 is about 472.5558139791. Note that the first 3 decimals are identical.

The spelling of 105525965 in words is "one hundred five million, five hundred twenty-five thousand, nine hundred sixty-five".