106105000068 has 36 divisors (see below), whose sum is σ = 271223463420. Its totient is φ = 34970935296.

The previous prime is 106105000061. The next prime is 106105000069. The reversal of 106105000068 is 860000501601.

It can be written as a sum of positive squares in 2 ways, for example, as 31484243844 + 74620756224 = 177438^2 + 273168^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106105000068² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106105000061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16555005 + ... + 16561412.

It is an arithmetic number, because the mean of its divisors is an integer number (7533985095).

Almost surely, 2^106105000068 is an apocalyptic number.

106105000068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106105000068 is an abundant number, since it is smaller than the sum of its proper divisors (165118463352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106105000068 is a wasteful number, since it uses less digits than its factorization.

106105000068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33116516 (or 33116511 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 106105000068 its reverse (860000501601), we get a palindrome (966105501669).

The spelling of 106105000068 in words is "one hundred six billion, one hundred five million, sixty-eight", and thus it is an aban number.