106084085365 has 8 divisors (see below), whose sum is σ = 127302654168. Its totient is φ = 84866100480.

The previous prime is 106084085311. The next prime is 106084085399. The reversal of 106084085365 is 563580480601.

It can be written as a sum of positive squares in 4 ways, for example, as 14924775889 + 91159309476 = 122167^2 + 301926^2 .

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

It is not a de Polignac number, because 106084085365 - 2¹³ = 106084077173 is a prime.

It is a super-3 number, since 3×106084085365³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 604009 + ... + 759601.

It is an arithmetic number, because the mean of its divisors is an integer number (15912831771).

Almost surely, 2^106084085365 is an apocalyptic number.

It is an amenable number.

106084085365 is a deficient number, since it is larger than the sum of its proper divisors (21218568803).

106084085365 is a wasteful number, since it uses less digits than its factorization.

106084085365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291959.

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 106084085365 in words is "one hundred six billion, eighty-four million, eighty-five thousand, three hundred sixty-five".