105355521 has 12 divisors (see below), whose sum is σ = 157428180. Its totient is φ = 67814880.

The previous prime is 105355519. The next prime is 105355531. The reversal of 105355521 is 125553501.

105355521 is a `hidden beast` number, since 105 + 3 + 5 + 552 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62583921 + 42771600 = 7911^2 + 6540^2 .

It is not a de Polignac number, because 105355521 - 2¹ = 105355519 is a prime.

It is a super-2 number, since 2×105355521² = 22199571610362882, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105355501) 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 11 ways as a sum of consecutive naturals, for example, 201570 + ... + 202091.

It is an arithmetic number, because the mean of its divisors is an integer number (13119015).

Almost surely, 2^105355521 is an apocalyptic number.

It is an amenable number.

105355521 is a deficient number, since it is larger than the sum of its proper divisors (52072659).

105355521 is a wasteful number, since it uses less digits than its factorization.

105355521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403696 (or 403693 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 105355521 is about 10264.2837548462. The cubic root of 105355521 is about 472.3012551232.

The spelling of 105355521 in words is "one hundred five million, three hundred fifty-five thousand, five hundred twenty-one".