105532641 has 12 divisors (see below), whose sum is σ = 152982180. Its totient is φ = 70103040.

The previous prime is 105532627. The next prime is 105532727. The reversal of 105532641 is 146235501.

105532641 is a `hidden beast` number, since 10 + 5 + 5 + 3 + 2 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33350625 + 72182016 = 5775^2 + 8496^2 .

It is not a de Polignac number, because 105532641 - 2⁷ = 105532513 is a prime.

It is a super-2 number, since 2×105532641² = 22274276632869762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105532841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18336 + ... + 23393.

It is an arithmetic number, because the mean of its divisors is an integer number (12748515).

Almost surely, 2^105532641 is an apocalyptic number.

It is an amenable number.

105532641 is a deficient number, since it is larger than the sum of its proper divisors (47449539).

105532641 is a wasteful number, since it uses less digits than its factorization.

105532641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42016 (or 42013 counting only the distinct ones).

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

The square root of 105532641 is about 10272.9081082233. The cubic root of 105532641 is about 472.5657790340.

The spelling of 105532641 in words is "one hundred five million, five hundred thirty-two thousand, six hundred forty-one".