106563135 has 16 divisors (see below), whose sum is σ = 194858496. Its totient is φ = 48714528.

The previous prime is 106563131. The next prime is 106563143. The reversal of 106563135 is 531365601.

It is not a de Polignac number, because 106563135 - 2² = 106563131 is a prime.

It is a super-2 number, since 2×106563135² = 22711403482056450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106563131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507339 + ... + 507548.

It is an arithmetic number, because the mean of its divisors is an integer number (12178656).

Almost surely, 2^106563135 is an apocalyptic number.

106563135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106563135 is a deficient number, since it is larger than the sum of its proper divisors (88295361).

106563135 is a wasteful number, since it uses less digits than its factorization.

106563135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014902.

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 106563135 is about 10322.9421678124. The cubic root of 106563135 is about 474.0989529741.

The spelling of 106563135 in words is "one hundred six million, five hundred sixty-three thousand, one hundred thirty-five".