106735554089 has 8 divisors (see below), whose sum is σ = 107903601288. Its totient is φ = 105568888320.

The previous prime is 106735554083. The next prime is 106735554097. The reversal of 106735554089 is 980455537601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32647069225 + 74088484864 = 180685^2 + 272192^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106735554089 - 2²⁰ = 106734505513 is a prime.

It is a super-2 number, since 2×106735554089² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106735554089.

It is not an unprimeable number, because it can be changed into a prime (106735554083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189602 + ... + 499419.

It is an arithmetic number, because the mean of its divisors is an integer number (13487950161).

Almost surely, 2^106735554089 is an apocalyptic number.

It is an amenable number.

106735554089 is a deficient number, since it is larger than the sum of its proper divisors (1168047199).

106735554089 is an equidigital number, since it uses as much as digits as its factorization.

106735554089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690715.

The product of its (nonzero) digits is 4536000, while the sum is 53.

The spelling of 106735554089 in words is "one hundred six billion, seven hundred thirty-five million, five hundred fifty-four thousand, eighty-nine".