105645521 has 8 divisors (see below), whose sum is σ = 109471080. Its totient is φ = 101832192.

The previous prime is 105645517. The next prime is 105645523. The reversal of 105645521 is 125546501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2907025 + 102738496 = 1705^2 + 10136^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105645521 - 2² = 105645517 is a prime.

It is a super-2 number, since 2×105645521² = 22321952214722882, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105645523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16811 + ... + 22223.

It is an arithmetic number, because the mean of its divisors is an integer number (13683885).

Almost surely, 2^105645521 is an apocalyptic number.

It is an amenable number.

105645521 is a deficient number, since it is larger than the sum of its proper divisors (3825559).

105645521 is an equidigital number, since it uses as much as digits as its factorization.

105645521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115.

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 105645521 is about 10278.4007024439. The cubic root of 105645521 is about 472.7342078629.

The spelling of 105645521 in words is "one hundred five million, six hundred forty-five thousand, five hundred twenty-one".