12105090102169 has 27 divisors (see below), whose sum is σ = 12991635805887. Its totient is φ = 11276735961024.

The previous prime is 12105090102121. The next prime is 12105090102197. The reversal of 12105090102169 is 96120109050121.

The square root of 12105090102169 is 3479237.

It is a perfect power (a square), and thus also a powerful number.

12105090102169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9424378107225 + 2680711994944 = 3069915^2 + 1637288^2 .

It is not a de Polignac number, because 12105090102169 - 2⁷ = 12105090102041 is a prime.

It is a super-2 number, since 2×12105090102169² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12105090102569) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6092142994 + ... + 6092144980.

Almost surely, 2^{12105090102169} is an apocalyptic number.

12105090102169 is the 3479237-th square number.

12105090102169 is the 1739619-th centered octagonal number.

It is an amenable number.

12105090102169 is a deficient number, since it is larger than the sum of its proper divisors (886545703718).

12105090102169 is an frugal number, since it uses more digits than its factorization.

12105090102169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 37.

The spelling of 12105090102169 in words is "twelve trillion, one hundred five billion, ninety million, one hundred two thousand, one hundred sixty-nine".