106565144 has 32 divisors (see below), whose sum is σ = 229651200. Its totient is φ = 45411360.

The previous prime is 106565101. The next prime is 106565149. The reversal of 106565144 is 441565601.

It is a super-2 number, since 2×106565144² = 22712259831481472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106565144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106565149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4709 + ... + 15339.

It is an arithmetic number, because the mean of its divisors is an integer number (7176600).

Almost surely, 2^106565144 is an apocalyptic number.

106565144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106565144 is an abundant number, since it is smaller than the sum of its proper divisors (123086056).

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

106565144 is a wasteful number, since it uses less digits than its factorization.

106565144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10823 (or 10819 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 106565144 is about 10323.0394748834. The cubic root of 106565144 is about 474.1019322997.

The spelling of 106565144 in words is "one hundred six million, five hundred sixty-five thousand, one hundred forty-four".