106456065 has 32 divisors (see below), whose sum is σ = 174493440. Its totient is φ = 55401216.

The previous prime is 106456061. The next prime is 106456079. The reversal of 106456065 is 560654601.

It is not a de Polignac number, because 106456065 - 2² = 106456061 is a prime.

It is a super-2 number, since 2×106456065² = 22665787550568450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106456061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285219 + ... + 285591.

It is an arithmetic number, because the mean of its divisors is an integer number (5452920).

Almost surely, 2^106456065 is an apocalyptic number.

106456065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106456065 is a deficient number, since it is larger than the sum of its proper divisors (68037375).

106456065 is a wasteful number, since it uses less digits than its factorization.

106456065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 106456065 is about 10317.7548429879. The cubic root of 106456065 is about 473.9401151000.

The spelling of 106456065 in words is "one hundred six million, four hundred fifty-six thousand, sixty-five".