106465554216165 has 16 divisors (see below), whose sum is σ = 172744110504576. Its totient is φ = 55981887662400.

The previous prime is 106465554216149. The next prime is 106465554216169. The reversal of 106465554216165 is 561612455564601.

It is not a de Polignac number, because 106465554216165 - 2⁴ = 106465554216149 is a prime.

It is a super-3 number, since 3×106465554216165³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106465554216169) 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, 49983827206 + ... + 49983829335.

It is an arithmetic number, because the mean of its divisors is an integer number (10796506906536).

Almost surely, 2^{106465554216165} is an apocalyptic number.

106465554216165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106465554216165 is a deficient number, since it is larger than the sum of its proper divisors (66278556288411).

106465554216165 is an equidigital number, since it uses as much as digits as its factorization.

106465554216165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99967656620.

The product of its (nonzero) digits is 25920000, while the sum is 57.

The spelling of 106465554216165 in words is "one hundred six trillion, four hundred sixty-five billion, five hundred fifty-four million, two hundred sixteen thousand, one hundred sixty-five".