106344140309 has 32 divisors (see below), whose sum is σ = 125276544000. Its totient is φ = 89316057600.

The previous prime is 106344140299. The next prime is 106344140321. The reversal of 106344140309 is 903041443601.

It is not a de Polignac number, because 106344140309 - 2⁴ = 106344140293 is a prime.

It is a super-2 number, since 2×106344140309² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106344140359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819707 + ... + 940535.

It is an arithmetic number, because the mean of its divisors is an integer number (3914892000).

Almost surely, 2^106344140309 is an apocalyptic number.

It is an amenable number.

106344140309 is a deficient number, since it is larger than the sum of its proper divisors (18932403691).

106344140309 is a wasteful number, since it uses less digits than its factorization.

106344140309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120989.

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 106344140309 in words is "one hundred six billion, three hundred forty-four million, one hundred forty thousand, three hundred nine".