105432561 has 12 divisors (see below), whose sum is σ = 164006388. Its totient is φ = 64881504.

The previous prime is 105432559. The next prime is 105432563. The reversal of 105432561 is 165234501.

It is an interprime number because it is at equal distance from previous prime (105432559) and next prime (105432563).

It can be written as a sum of positive squares in 2 ways, for example, as 37271025 + 68161536 = 6105^2 + 8256^2 .

It is not a de Polignac number, because 105432561 - 2¹ = 105432559 is a prime.

It is a super-2 number, since 2×105432561² = 22232049838037442, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (105432563) 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, 450450 + ... + 450683.

It is an arithmetic number, because the mean of its divisors is an integer number (13667199).

Almost surely, 2^105432561 is an apocalyptic number.

It is an amenable number.

105432561 is a deficient number, since it is larger than the sum of its proper divisors (58573827).

105432561 is a wasteful number, since it uses less digits than its factorization.

105432561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901152 (or 901149 counting only the distinct ones).

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

The square root of 105432561 is about 10268.0358881336. The cubic root of 105432561 is about 472.4163486749.

The spelling of 105432561 in words is "one hundred five million, four hundred thirty-two thousand, five hundred sixty-one".