106565610 has 32 divisors (see below), whose sum is σ = 261708480. Its totient is φ = 27756288.

The previous prime is 106565603. The next prime is 106565611. The reversal of 106565610 is 16565601.

It is a super-2 number, since 2×106565610² = 22712458469344200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106565611) 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, 40015 + ... + 42594.

It is an arithmetic number, because the mean of its divisors is an integer number (8178390).

Almost surely, 2^106565610 is an apocalyptic number.

106565610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106565610 is an abundant number, since it is smaller than the sum of its proper divisors (155142870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106565610 is a wasteful number, since it uses less digits than its factorization.

106565610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82662.

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

The square root of 106565610 is about 10323.0620457304. The cubic root of 106565610 is about 474.1026233673.

Subtracting from 106565610 its reverse (16565601), we obtain a palindrome (90000009).

The spelling of 106565610 in words is "one hundred six million, five hundred sixty-five thousand, six hundred ten".