106814327279 has 16 divisors (see below), whose sum is σ = 117205504416. Its totient is φ = 96537369600.

The previous prime is 106814327251. The next prime is 106814327311. The reversal of 106814327279 is 972723418601.

It is a cyclic number.

It is not a de Polignac number, because 106814327279 - 2¹² = 106814323183 is a prime.

It is a super-2 number, since 2×106814327279² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106814327779) 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, 2931179 + ... + 2967395.

It is an arithmetic number, because the mean of its divisors is an integer number (7325344026).

Almost surely, 2^106814327279 is an apocalyptic number.

106814327279 is a deficient number, since it is larger than the sum of its proper divisors (10391177137).

106814327279 is a wasteful number, since it uses less digits than its factorization.

106814327279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37786.

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 106814327279 in words is "one hundred six billion, eight hundred fourteen million, three hundred twenty-seven thousand, two hundred seventy-nine".