105436521 has 12 divisors (see below), whose sum is σ = 152394372. Its totient is φ = 70246176.

The previous prime is 105436517. The next prime is 105436553. The reversal of 105436521 is 125634501.

105436521 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 3 + 652 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87160896 + 18275625 = 9336^2 + 4275^2 .

It is not a de Polignac number, because 105436521 - 2² = 105436517 is a prime.

It is a super-2 number, since 2×105436521² = 22233719921166882, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105436501) 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 11 ways as a sum of consecutive naturals, for example, 17515 + ... + 22751.

It is an arithmetic number, because the mean of its divisors is an integer number (12699531).

Almost surely, 2^105436521 is an apocalyptic number.

It is an amenable number.

105436521 is a deficient number, since it is larger than the sum of its proper divisors (46957851).

105436521 is a wasteful number, since it uses less digits than its factorization.

105436521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7480 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105436521 is about 10268.2287177487. The cubic root of 105436521 is about 472.4222631834.

The spelling of 105436521 in words is "one hundred five million, four hundred thirty-six thousand, five hundred twenty-one".