106565409 has 16 divisors (see below), whose sum is σ = 158040000. Its totient is φ = 70969248.

The previous prime is 106565399. The next prime is 106565419. The reversal of 106565409 is 904565601.

106565409 is a `hidden beast` number, since 106 + 5 + 6 + 540 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (106565399) and next prime (106565419).

It is not a de Polignac number, because 106565409 - 2⁸ = 106565153 is a prime.

It is a super-2 number, since 2×106565409² = 22712372790674562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106565419) 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, 39157 + ... + 41789.

It is an arithmetic number, because the mean of its divisors is an integer number (9877500).

Almost surely, 2^106565409 is an apocalyptic number.

It is an amenable number.

106565409 is a deficient number, since it is larger than the sum of its proper divisors (51474591).

106565409 is a wasteful number, since it uses less digits than its factorization.

106565409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106565409 is about 10323.0523102424. The cubic root of 106565409 is about 474.1023252890.

The spelling of 106565409 in words is "one hundred six million, five hundred sixty-five thousand, four hundred nine".