106563405 has 16 divisors (see below), whose sum is σ = 183617280. Its totient is φ = 52461888.

The previous prime is 106563397. The next prime is 106563427. The reversal of 106563405 is 504365601.

It is not a de Polignac number, because 106563405 - 2³ = 106563397 is a prime.

It is a super-2 number, since 2×106563405² = 22711518570388050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 273045 + ... + 273434.

It is an arithmetic number, because the mean of its divisors is an integer number (11476080).

Almost surely, 2^106563405 is an apocalyptic number.

106563405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106563405 is a deficient number, since it is larger than the sum of its proper divisors (77053875).

106563405 is a wasteful number, since it uses less digits than its factorization.

106563405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546500.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 106563405 is about 10322.9552454711. The cubic root of 106563405 is about 474.0993533834.

The spelling of 106563405 in words is "one hundred six million, five hundred sixty-three thousand, four hundred five".