106016565 has 16 divisors (see below), whose sum is σ = 169763328. Its totient is φ = 56496576.

The previous prime is 106016557. The next prime is 106016567. The reversal of 106016565 is 565610601.

It is not a de Polignac number, because 106016565 - 2³ = 106016557 is a prime.

It is a super-2 number, since 2×106016565² = 22479024108798450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106016567) 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, 25407 + ... + 29283.

It is an arithmetic number, because the mean of its divisors is an integer number (10610208).

Almost surely, 2^106016565 is an apocalyptic number.

106016565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106016565 is a deficient number, since it is larger than the sum of its proper divisors (63746763).

106016565 is a wasteful number, since it uses less digits than its factorization.

106016565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 106016565 is about 10296.4345770757. The cubic root of 106016565 is about 473.2870006336.

The spelling of 106016565 in words is "one hundred six million, sixteen thousand, five hundred sixty-five".