105040521 has 12 divisors (see below), whose sum is σ = 155826372. Its totient is φ = 68134176.

The previous prime is 105040519. The next prime is 105040553. The reversal of 105040521 is 125040501.

105040521 is a `hidden beast` number, since 105 + 0 + 40 + 521 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41216400 + 63824121 = 6420^2 + 7989^2 .

It is not a de Polignac number, because 105040521 - 2¹ = 105040519 is a prime.

It is a super-2 number, since 2×105040521² = 22067022103902882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105040494 and 105040503.

It is not an unprimeable number, because it can be changed into a prime (105040571) 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, 157386 + ... + 158051.

It is an arithmetic number, because the mean of its divisors is an integer number (12985531).

Almost surely, 2^105040521 is an apocalyptic number.

It is an amenable number.

105040521 is a deficient number, since it is larger than the sum of its proper divisors (50785851).

105040521 is a wasteful number, since it uses less digits than its factorization.

105040521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315480 (or 315477 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105040521 is about 10248.9277975796. The cubic root of 105040521 is about 471.8300777434.

The spelling of 105040521 in words is "one hundred five million, forty thousand, five hundred twenty-one".