106513563 has 16 divisors (see below), whose sum is σ = 160993280. Its totient is φ = 62096544.

The previous prime is 106513553. The next prime is 106513577. The reversal of 106513563 is 365315601.

It is not a de Polignac number, because 106513563 - 2⁶ = 106513499 is a prime.

It is a super-2 number, since 2×106513563² = 22690278205909938, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106513563.

It is not an unprimeable number, because it can be changed into a prime (106513513) 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 15 ways as a sum of consecutive naturals, for example, 71131 + ... + 72612.

It is an arithmetic number, because the mean of its divisors is an integer number (10062080).

Almost surely, 2^106513563 is an apocalyptic number.

106513563 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106513563 is a deficient number, since it is larger than the sum of its proper divisors (54479717).

106513563 is a wasteful number, since it uses less digits than its factorization.

106513563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143778.

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

The square root of 106513563 is about 10320.5408288519. The cubic root of 106513563 is about 474.0254263631.

The spelling of 106513563 in words is "one hundred six million, five hundred thirteen thousand, five hundred sixty-three".