106000563 has 32 divisors (see below), whose sum is σ = 154828800. Its totient is φ = 64260000.

The previous prime is 106000561. The next prime is 106000567. The reversal of 106000563 is 365000601.

It is not a de Polignac number, because 106000563 - 2¹ = 106000561 is a prime.

It is a super-2 number, since 2×106000563² = 22472238712633938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106000561) 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 31 ways as a sum of consecutive naturals, for example, 422188 + ... + 422438.

It is an arithmetic number, because the mean of its divisors is an integer number (4838400).

Almost surely, 2^106000563 is an apocalyptic number.

106000563 is a deficient number, since it is larger than the sum of its proper divisors (48828237).

106000563 is a wasteful number, since it uses less digits than its factorization.

106000563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 106000563 is about 10295.6574826477. The cubic root of 106000563 is about 473.2631869976.

The spelling of 106000563 in words is "one hundred six million, five hundred sixty-three", and thus it is an aban number.